PUZZLET 016

Multiples of Numbers from Powers of their Digits

Find a 5-digit integer such that the sum of the cube of the integer formed from its first 2 digits and the square of the integer formed from its last 3 digits generates a new integer which is an exact multiple of the original integer.

Example: 38463: 38^{3}+ 463^{2}= 269241 = 7*38463

How many othersolutions can you find?

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Last Updated: January 7th, 2010.