MathDB

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Part of 2024 Azerbaijan Senior NMO

Problems(1)

number of positive divisors is equal to n/5

Source: Azerbaijan NMO 2024. Senior P2

7/8/2024
Let d(n)d(n) denote the number of positive divisors of the natural number nn. Find all the natural numbers nn such that d(n)=n5d(n) = \frac{n}{5}.
number theoryAZE SENIOR NATIONAL MO