Question

Let $N=2016$, then the sum of even divisors of $N$ which are not divisible by $16$ is

Answer 1

$2016=2^5\times 3^2\times 7$
For the divisors to be even and not divisible by $16$, we should take $2$ only three times.
$\therefore$ sum of required divisors $=(2^1+2^2+2^3)(3^0+3^1+3^2)(7^0+7^1)=14\times 13\times 8=1456$