Mr. White's Carnival

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Points: 3
Time limit: 2.0s
Memory limit: 64M

Problem type

Navidur went to the carnival and played the stereotypical hit something with a big hammer as hard as you can. When he hit the platform, the puck flew up exactly N meters. Now, the carnival is actually hosted by Mr. White, so the scoring is a little strange this time around. Navidur's score is the sum of all the positive factors of N. What's his score?

Input Specification

The input will be a single integer N (1 \le N \le 10^6).

Output Specification

Output the sum of the positive factors of N.

Sample Input


Sample Output



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