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 not any lower..........spoiler by Ady TZIDON)

50400 = 7(5^2)(2^5)(3^2) not 3^3

2 3 6 3 = 108 divisors

Posted by goFish on 2006-02-20 16:04:37