Determine all possible value(s) of a positive integer N that satisfies the following conditions:

(i) N is the product of three prime numbers, whose squares sum to 2331.

(ii) The sum of the positive divisors of N ( including 1 and N) is 10560.

(In reply to Solution by Brian Smith)

Brian, I almost beat you to this solution, but mine used more trial & error and would have made for a messy explanation, although was along the same lines.  So I'm happy you got it first.

Posted by Jim Keneipp on 2009-10-18 15:00:47