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Omni-MATH / Find all positive integers n for which all positive divisors of n can be put into the cells of a rectangular table under the following constraints: [list] [*]each cell contains a d…

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problem

Find all positive integers nn for which all positive divisors of nn can be put into the cells of a rectangular table under the following constraints: [list] [*]each cell contains a distinct divisor; [*]the sums of all rows are equal; and [*]the sums of all columns are equal. [/list]
Plain-text mathematical notation (without MathML)
Find all positive integers n for which all positive divisors of n can be put into the cells of a rectangular table under the following constraints:
[list]
[*]each cell contains a distinct divisor;
[*]the sums of all rows are equal; and
[*]the sums of all columns are equal.
[/list]
Original LaTeX notation
Find all positive integers $n$ for which all positive divisors of $n$ can be put into the cells of a rectangular table under the following constraints:
[list]
[*]each cell contains a distinct divisor;
[*]the sums of all rows are equal; and
[*]the sums of all columns are equal.
[/list]

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Source and history

task_id
ddfdb954-9213-5c1a-b748-36fdfc1046d9
task_key
test--ddfdb954-9213-5c1a-b748-36fdfc1046d9
task_revision_id
1
config / split
/ test

Official source

initial import