perplexus.info :: Just Math : Find All Numbers

Find All Numbers (Posted on 2006-07-25)

Find all four–digit numbers in which the product of the digits is equal to the sum of the digits, and the number itself is divisible by the sum of its digits.

No Solution Yet Submitted by Ravi Raja

Rating: 5.0000 (1 votes)

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Puzzle Thoughts

Comment 8 of 8 |

The required number is 4112.

-4112 is also a possibility if negative integers are permissible.

Posted by K Sengupta on 2023-01-13 22:16:07

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