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.
importjava.util.*;classHarshadNumber{ publicstatic voidmain(String args[]) { Scanner sc = new Scanner(System.in); System.out.print("Enter a number : "); intn = sc.nextInt(); intc = 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 : 195195 is a Harshad Number.Enter a number : 194194 is not a Harshad Number.Enter a number : 190190 is a Harshad Number.Enter a number : 111111 is a Harshad Number. |
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