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MathNet 2019-part-01 — 184 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)

Question 124

For a positive integer $n$ write down all its positive divisors in increasing order: $1 = d_1 \lt d_2 \lt \dots \lt d_k = n$.
Find all positive integers $n$ divisible by $2019$ such that $n = d_{19} \cdot d_{20}$.