Harshad Number : In recreational mathematics, a Harshad number (or Niven number), is an integer (in base 10) that is divisible by the sum of its digits.
Let’s understand the concept of Harshad Number through the following example: The number 18 is a Harshad number in base 10, because the sum of the digits 1 and 8 is 9 (1 + 8 = 9), and 18 is divisible by 9 (since 18 % 9 = 0
The number 19 is not a Harshad number in base 10, because the sum of the digits 1 and 9 is 10 (1 + 9 = 10), and 19 is not divisible by 10 (since 19 % 10 = 9)
The first few Harshad numbers in base 10 are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200 etc.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200 etc.
import
java.util.*;
class
HarshadNumber
{
public
static
void
main(String args[])
{
Scanner sc = new
Scanner(System.in);
System.out.print("Enter a number : ");
int
n = sc.nextInt();
int
c = n, d, sum = 0;
//finding sum of digits
while(c>0)
{
d = c%10;
sum = sum + d;
c = c/10;
}
if(n%sum == 0)
System.out.println(n+" is a Harshad Number.");
else
System.out.println(n+" is not a Harshad Number.");
}
}
Output:
Enter a number : 195 195 is a Harshad Number. Enter a number : 194 194 is not a Harshad Number. Enter a number : 190 190 is a Harshad Number. Enter a number : 111 111 is a Harshad Number. |
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