We call a proper divisor of a positive integer as a positive divisor other than itself. For example, the divisors of 8 are 1, 2, 4, 8, the first three of these numbers are the proper divisors of 8.

Find all positive integers n, 1 <= n <= 1000, that are equal to the product of their positive divisors. For example, 8 = 1*2*4 works.

Guest Jul 13, 2020