CAYLEY 2020 Problem 25

How many positive integers n \leq 20000 have the properties that 2 n has 64 positive divisors including 1 and 2 n, and 5 n has 60 positive divisors including 1 and 5 n ?

Answer Choices
A. 4
B. 5
C. 3
D. 2
E. 6