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Gross Division (Posted on 2006-02-20) Difficulty: 3 of 5
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)

See The Solution Submitted by goFish    
Rating: 3.8000 (5 votes)

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re: start | Comment 3 of 14 |
(In reply to start by Charlie)

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

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