If $a$ is the number of all even divisors and $b$ is the number of all odd divisors of the number $10800$,then $2a+3b=$

The number of positive integers $n$ such that $n+3$ divides $n^3-3$ is

The number of $6$-digit numbers of the form $ababab$ (in base $10$) each of which is a product of exactly $6$ distinct primes is

If $15^k$ divides $47!$ but $15^{k+1}$ does not divide it,then $k=$

The number of ways of awarding $9$ scholarships among $3$ students so that each may have $3$ scholarships is

Let $f(x) = 2x^n + \lambda$,where $\lambda \in R$ and $n \in N$. Given $f(4) = 133$ and $f(5) = 255$,find the sum of all the positive integer divisors of $(f(3) - f(2))$.