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# Number Theory

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What is the smallest positive integer that has exactly 40 divisors? Thank you for help.

Feb 26, 2020

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What is the smallest positive integer that has exactly 40 divisors?

$$\sigma_0(1680) = 40$$

See table of n, a(n) for n = 1..100000: http://oeis.org/A000005/b000005.txt

The smallest positive integer that has exactly 40 divisors is 1680

Feb 26, 2020
edited by heureka  Feb 26, 2020