{"status": "success", "data": {"description_md": "Call a positive integer $n$ $k$-pretty if $n$ has exactly $k$ positive divisors and $n$ is divisible by $k$. For example, $18$ is $6$-pretty. Let $S$ be the sum of positive integers less than $2019$ that are $20$-pretty. Find $\\tfrac{S}{20}$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Call a positive integer <span class=\"katex--inline\">n</span> <span class=\"katex--inline\">k</span>-pretty if <span class=\"katex--inline\">n</span> has exactly <span class=\"katex--inline\">k</span> positive divisors and <span class=\"katex--inline\">n</span> is divisible by <span class=\"katex--inline\">k</span>. For example, <span class=\"katex--inline\">18</span> is <span class=\"katex--inline\">6</span>-pretty. Let <span class=\"katex--inline\">S</span> be the sum of positive integers less than <span class=\"katex--inline\">2019</span> that are <span class=\"katex--inline\">20</span>-pretty. Find <span class=\"katex--inline\">\\tfrac{S}{20}</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2019 AIME II Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/19_aime_II_p10", "prev": "/problem/19_aime_II_p08"}}