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• Frequently Asked Questions

• What is a Harshad number?

  An integer number in base 10 which is divisible by the sum of its digits is said to be a Harshad Number. An n-harshad number is an integer number divisible by the sum of its digit in base n. Below are the first few Harshad Numbers represented in base 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20………

• Is 12 a Harshad number in base 10?

  The number 12 is a harshad number in all bases except octal . 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. The Hardy–Ramanujan number (1729) is a harshad number in base 10, since it is divisible by 19, the sum of its digits (1729 = 19 × 91).

• Is the Hardy Ramanujan number a Harshad number?

  The Hardy–Ramanujan number (1729) is a harshad number in base 10, since it is divisible by 19, the sum of its digits (1729 = 19 × 91). 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.