SE-SKOLORNAS 1990 Problem 1

Let $d_1, d_2, ... , d_k$ be the positive divisors of $n = 1990!$ . Show that $\sum \frac{d_i}{\sqrt{n}} = \sum \frac{\sqrt{n}}{d_i}$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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