# Divisors of a0b

Algebra Level 5

Find the sum of all 2 digit numbers $N=\overline{ab}$, where $a \neq 0$, such that $N$ divides $\overline{a0b}$.

Details and assumptions

$\overline{abc}$ means $100a + 10b + 1c$, as opposed to $a \times b \times c$. As an explicit example, for $a=2, b=3, c=4$, $\overline{abc} = 234$ and not $2 \times 3 \times 4 = 24$.

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