AMC 10B 2013 Problem 24

A positive integer n is nice if there is a positive integer m with exactly four positive divisors (including 1 and m ) such that the sum of the four divisors is equal to n. How many numbers in the set \{2010,2011,2012, \ldots, 2019\} are nice?

Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5