Determine all possible values of a 3-digit non leading zeroes positive decimal integer N, such that N is obtained by multiplying its sum of the digits with the sum of squares of its digits.

I find no solutions for 5-digits. For anything greater than five digits, the number itself will be larger than the largest possible product for the product of the sums.  (The solutions for the 4-digits are 1148, 1547, and 2196.) 

Posted by ed bottemiller on 2009-06-22 19:00:19