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)
(In reply to start
Having now read Steve Herman's comment, I realize that 4*4 is as good as 2*2*2*2, so there could be higher powers of primes.
Posted by Charlie
on 2006-02-20 10:34:58