# Number of Divisors

Find the smallest number N such that:
The number of divisors of N is A.
The number of divisors of A is B.
The number of divisors of B is C.
The number of divisors of C is 3.

Details and assumptions

The divisors include $$1$$ and the number itself. For example, the number of divisors of $$10$$ is $$4$$.

You may read Divisors of an Integer to learn how to count the number of divisors of a given integer.

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