Let \(P = 36000.\) Let \(Q\) equal the sum of all the factors of \(36000,\) not including \(36000\) itself. Let \(R\) be

Let \(P = 36000.\) Let \(Q\) equal the sum of all the factors of \(36000,\) not including \(36000\) itself. Let \(R\) be the sum of all the prime numbers less than \(36000.\) Rank the numbers \(P, Q,\) and \(R\) in numerical order from smallest to biggest.

(A) \(P, Q, R\)

(B) \(P, R, Q\)

(C) \(Q, P, R\)

(D) \(R, P, Q\)

(E) \(R, Q, P\)

[spoiler]OA=A[/spoiler]

Source: Magoosh