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Q. Sum of all the odd divisors of 360 is :

Permutations and Combinations

Solution:

$360=2^3 \cdot 3^2 \cdot 5$. Any odd divisor of 360 is of the form $3^a \cdot 5^b$
$\Rightarrow S =\left(3^0+3+3^2\right)\left(5^0+5^1\right)=78 $