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Check if the sum of digits of a number N divides it

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  • Last Updated : 23 Mar, 2023
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Given a number N. The task is to check if the sum of digits of the given number divides the number or not. If it divides it then print YES otherwise print NO.
Examples
 

Input : N = 12
Output : YES
Sum of digits = 1+2 =3 and 3 divides 12.
So, print YES.

Input : N = 15
Output : NO

 

Extract digits of the number and calculate the sum of all of its digits and check if the sum of digits dives N or not.
Below is the implementation of the above approach: 
 

C++




// C++ program to check if sum of
// digits of a number divides it
 
#include <iostream>
using namespace std;
 
// Function to check if sum of
// digits of a number divides it
int isSumDivides(int N)
{
    int temp = N;
 
    int sum = 0;
 
    // Calculate sum of all of digits of N
    while (temp) {
        sum += temp % 10;
        temp /= 10;
    }
 
    if (N % sum == 0)
        return 1;
    else
        return 0;
}
 
// Driver Code
int main()
{
    int N = 12;
 
    if (isSumDivides(N))
        cout << "YES";
    else
        cout << "NO";
 
    return 0;
}


Java




// Java program to check if sum of
// digits of a number divides it
 
import java.util.*;
import java.lang.*;
 
class GFG
{
// Function to check if sum of
// digits of a number divides it
static int isSumDivides(int N)
{
    int temp = N;
 
    int sum = 0;
 
    // Calculate sum of all of digits of N
    while (temp > 0)
    {
        sum += temp % 10;
        temp /= 10;
    }
 
    if (N % sum == 0)
        return 1;
    else
        return 0;
}
 
// Driver Code
public static void main(String args[])
{
    int N = 12;
 
    if (isSumDivides(N) == 1)
        System.out.print("YES");
    else
        System.out.print("NO");
}
}
 
// This code is contributed
// by Akanksha Rai(Abby_akku)


Python3




# Python3 program to check if sum of
# digits of a number divides it
 
# Function to check if sum of
# digits of a number divides it
def isSumDivides(N):
 
    temp = N
 
    sum = 0
 
    # Calculate sum of all of
    # digits of N
    while (temp):
        sum += temp % 10
        temp = int(temp / 10)
 
    if (N % sum == 0):
        return 1
    else:
        return 0
 
# Driver Code
if __name__=='__main__':
    N = 12
 
    if (isSumDivides(N)):
        print("YES")
    else:
        print("NO")
     
# This code is contributed by
# mits


C#




// C# program to check if sum of
// digits of a number divides it
using System;
 
// Function to check if sum of
// digits of a number divides it
class GFG
{
public int isSumDivides(int N)
{
    int temp = N, sum = 0;
 
    // Calculate sum of all of
    // digits of N
    while (temp > 0)
    {
        sum += temp % 10;
        temp /= 10;
    }
 
    if (N % sum == 0)
        return 1;
    else
        return 0;
}
 
// Driver Code
public static void Main()
{
    GFG g = new GFG();
    int N = 12;
 
    if (g.isSumDivides(N) > 0)
        Console.WriteLine("YES");
    else
        Console.WriteLine("NO");
}
}
 
// This code is contributed by Soumik


PHP




<?php
// PHP program to check if sum of
// digits of a number divides it
 
// Function to check if sum of
// digits of a number divides it
function isSumDivides($N)
{
    $temp = $N;
 
    $sum = 0;
 
    // Calculate sum of all of
    // digits of N
    while ($temp)
    {
        $sum += $temp % 10;
        $temp = (int)$temp / 10;
    }
 
    if ($N % $sum == 0)
        return 1;
    else
        return 0;
}
 
// Driver Code
$N = 12;
 
if (isSumDivides($N))
    echo "YES";
else
    echo "NO";
     
// This code is contributed by ajit
?>


Javascript




<script>
// javascript program to check if sum of
// digits of a number divides it   
// Function to check if sum of
    // digits of a number divides it
    function isSumDivides(N) {
        var temp = N;
 
        var sum = 0;
 
        // Calculate sum of all of digits of N
        while (temp > 0) {
            sum += temp % 10;
            temp = parseInt(temp/10);
        }
 
        if (N % sum == 0)
            return 1;
        else
            return 0;
    }
 
    // Driver Code
     
        var N = 12;
 
        if (isSumDivides(N) == 1)
            document.write("YES");
        else
            document.write("NO");
 
// This code contributed by aashish1995
</script>


Output: 

YES

 

Time Complexity : O(logn) 

Auxiliary Space: O(1), since no extra space has been taken.

Method:  Using the map function, split method, and the sum function:

This approach first converts the number N to a string and then splits it into a list of individual digits using the map function and the split method. It then calculates the sum of the digits using the sum function and checks if the sum divides the number N.

C++




#include <iostream>
#include <string>
#include <vector>
#include <numeric>
 
using namespace std;
 
bool isSumDivides(int N) {
    // Convert the number to a string and split it into individual digits
    string str_N = to_string(N);
    vector<int> digits;
    for (char c : str_N) {
        digits.push_back(c - '0');
    }
 
    // Calculate the sum of the digits
    int sum_of_digits = accumulate(digits.begin(), digits.end(), 0);
 
    // Check if the sum of the digits divides the number
    return N % sum_of_digits == 0;
}
 
int main() {
    int N = 12;
    cout << boolalpha << isSumDivides(N) << endl; // should print true
 
    N = 15;
    cout << boolalpha << isSumDivides(N) << endl; // should print false
 
    return 0;
}


Java




import java.util.Arrays;
 
public class Main {
    public static boolean isSumDivides(int N) {
        // Convert the number to a string and split it into individual digits
        int[] digits = Arrays.stream(Integer.toString(N).split("")).mapToInt(Integer::parseInt).toArray();
 
        // Calculate the sum of the digits
        int sum_of_digits = Arrays.stream(digits).sum();
 
        // Check if the sum of the digits divides the number
        return N % sum_of_digits == 0;
    }
 
    public static void main(String[] args) {
        int N = 12;
        System.out.println(isSumDivides(N)); // should print true
 
        N = 15;
        System.out.println(isSumDivides(N)); // should print false
    }
}


Python3




def isSumDivides(N):
    # Convert the number to a string and split it into individual digits
    digits = list(map(int, str(N)))
 
    # Calculate the sum of the digits
    sum_of_digits = sum(digits)
 
    # Check if the sum of the digits divides the number
    return N % sum_of_digits == 0
 
# Test the function
N = 12
print(isSumDivides(N)) # should print True
 
N = 15
print(isSumDivides(N)) # should print False
#This code is contributed by Edula Vinay Kumar Reddy


Output

True
False

Time complexity: O(n), where n is the number of digits in N
Auxiliary space: O(n), since a list of size n is created to store the digits of N


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