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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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Some Thoughts Spoiler? Possible Solution? | Comment 1 of 14
I haven't checked it yet, but I'm leaning towards
(2^3 )* (3^3) * (5^2) * (7^2).

264600

It has 144 divisors, including 1,2,3,4,5,6,7,8,9,10

  Posted by Steve Herman on 2006-02-20 10:28:20
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