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PUZZLET 113

Self-Generated Integer Products

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:  78741 -- 783 + 7412 = 13 x 78741



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Last Updated: January 13th, 2010.