Refactorable number

A **refactorable number** is a positive integer \( n \) such that \( n \) can be divided by the number of its divisors. In mathematical terms, if \( d(n) \) denotes the number of divisors of \( n \), then \( n \) is refactorable if \( n \) is divisible by \( d(n) \) (i.e., \( n \mod d(n) = 0 \)).