Question 42
We will call a positive integer *exquisite* if it is a multiple of the number of its divisors (for instance, $12$ is exquisite because it has $6$ divisors and $12$ is a multiple of $6$).
a) Find the largest exquisite two digit number.
b) Prove that no exquisite number has its last digit $3$.
a) Find the largest exquisite two digit number.
b) Prove that no exquisite number has its last digit $3$.