Question

Find the number of divisors of $1350.$ Also find the sum of all divisors.

Answer 1

$1350=2\times 3^3\times 5^2$
$\therefore$ Number of divisors$=(1+1)(3+1)(2+1)=24$
sum of divisors$=(1+2)(1+3+3^2+3^3)(1+5+5^2)=3720.$