# Sigma and Tau functions

Number Theory Level 3

The sum of divisors function denoted by $$\sigma(n)$$ is the sum of all positive divisors of $$n$$, and
the number of divisors function denoted by $$\tau(n)$$ is the number of positive divisors of $$n$$.

If a number $$n$$ is divisible by 2 and 3 and that $$\sigma(n)=363$$ and $$\tau(n)=10$$, find $$n$$.

×