Is Perfect Number

Is Perfect Number

Check whether a number equals the sum of its proper divisors.

Input format

One line with a single integer N (N >= 1).

Output format

Print true if N equals the sum of its proper divisors (like 6 = 1 + 2 + 3), otherwise false.

Constraints

• Values fit in a 64-bit signed integer
• Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

1

false

6

true