Question 10
Let $T(n)$ be the numbers of positive divisors of a positive integer $n$. How many positive integers $n$ satisfy $T(n)=T(39n)-39=T(55n)-55$?
Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.
Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.