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What is the smallest integer with 1,000 divisors? Thanks.

 Apr 18, 2023
 #1
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The answer is 2 to the power of 1000.

 Apr 18, 2023
 #2
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1000 = 2^3 * 5^3

 

2^4 * 3^4 *5^4 * 7 * 11 * 13 == 810,810,000 - which has  1000 divisors

 Apr 18, 2023

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