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Zuckerman number or Multiplication-Harshad number or Multiplication-Niven number is any positive integer b that is divisible by its product of digits (POD) and all of its digits. Zuckerman number cannot contain the digit 0. It is because if the digit 0 is present in the number, then multiplying it with other digits in the number gives the resultant 0, and no non-zero numbers are divisible by the digit 0. As per the definition: Zuckerman number b = number / product of digits Below are some examples: Number 24 Product of digits =  2 x 4 => 8 Here, number 24 is divisible by its product of digits 8, and the resultant is 3. Apart from this, number 24 is divisible by all of its digits: 2 and 4. Number 36 Product of digits = 3 x 6 => 18 Here, number 36 is divisible by its product of digits 18, and the resultant is 2. Apart from this, number 36 is divisible by all of its digits: 3 and 6. Number 115 Product of digits = 1 x 1 x 5 => 5 Here, nu...