#K1576. Sum of Factors

    ID: 24428 Type: Default 1000ms 256MiB

Sum of Factors

Sum of Factors

This problem asks you to compute the sum of all positive divisors of a given integer \(n\). In other words, you need to calculate the sum of all integers \(d\) such that \(d\) divides \(n\) without leaving a remainder. The formula for the sum of factors can be thought as:

\[ S(n) = \sum_{d|n} d \]

For example, for \(n = 12\), the factors are \(1, 2, 3, 4, 6, 12\) and their sum is \(28\). Your task is to read an integer from stdin and output the sum of its factors to stdout.

inputFormat

The input consists of a single integer \(n\) provided via standard input.

outputFormat

Output a single integer representing the sum of all positive divisors of \(n\) to standard output.

## sample
12
28

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