Find all possible 3-digit positive perfect powers that are divisible by the sum of their respective digits.

(In reply to full solution........................SPOILER by Ady TZIDON)

Fully 90% of the numbers you show are divisible by 9 or 100 or both, as 576 is divisible by 18, and therefore also by 9. With the addition of 216 to the list, the percentage goes higher still.

Posted by Charlie on 2015-07-29 10:16:47