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Omni-MATH / A divisor d of a positive integer n is said to be a [i]close[/i] divisor of n if √(n)<d<2√(n). Does there exist a positive integer with exactly 2020 close divisors?

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problem

A divisor dd of a positive integer nn is said to be a [i]close[/i] divisor of nn if n<d<2n\sqrt{n}<d<2\sqrt{n}. Does there exist a positive integer with exactly 20202020 close divisors?
Plain-text mathematical notation (without MathML)
A divisor d of a positive integer n is said to be a [i]close[/i] divisor of n if √(n)<d<2√(n). Does there exist a positive integer with exactly 2020 close divisors?
Original LaTeX notation
A divisor $d$ of a positive integer $n$ is said to be a [i]close[/i] divisor of $n$ if $\sqrt{n}<d<2\sqrt{n}$. Does there exist a positive integer with exactly $2020$ close divisors?

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Source and history

task_id
6b17ace2-4d03-52de-bcf9-782a9c86784b
task_key
test--6b17ace2-4d03-52de-bcf9-782a9c86784b
task_revision_id
1
config / split
/ test

Official source

initial import