Find the smallest positive integer n such that n has exactly 144 distinct positive divisors and there are 10 consecutive integers among them (Note: 1 and n are both divisors of n)

KUDOS to your soluton and explanation. I was driven exactly
by the same principles by erred in my multiplication.

BTW, it is a nice problem  that does not justify using computer.

!

Posted by Ady TZIDON on 2006-02-21 08:41:14