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MathNet 2006 — Part 02 Question 129

Math Olympiad Vault · MathNet 2006 — Part 02

Question 129

A positive integer is **bold** iff it has $8$ positive divisors that sum up to $3240$. For example, $2006$ is bold because its $8$ positive divisors, $1$, $2$, $17$, $34$, $59$, $118$, $1003$ and $2006$, sum up to $3240$. Find the smallest positive bold number.