Question 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 $$
\{ 2010,2011,2012,\dotsc,2019 \}
$$ are nice?
\{ 2010,2011,2012,\dotsc,2019 \}
$$ are nice?