The sum of the divisors of (2^4\cdot 3^3 \cdot 5^3) is | Mathematics | SolveeIt

The sum of the divisors of $2^4\cdot 3^3 \cdot 5^3$ is

$31 \times 40 \times 156$

$30 \times 40 \times 150$

$31 \times 40 \times 150$

none of these

Answer

$31 \times 40 \times 156$

Explanation

Reqd. sum $=\frac{2^{5}-1}{2-1}. \frac{3^{4}-1}{3-1}\cdot\frac{5^{4}-1}{5-1}$ $=\left(31\right)\left(40\right)\left(156\right)$

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