AHSME 1991 Problem 14

If $x$ is the cube of a positive integer and $d$ is the number of positive integers that are divisors of $x$, then $d$ could be $\text{(A) } 200 \text{(B) } 201 \text{(C) } 202 \text{(D) } 203 \text{(E) } 204$