n! means n

Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n).
If d(a) = b and d(b) = a, where a b, then a and b are an amicable pair and each of a and b are called amicable numbers.

For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220.

Evaluate the sum of all the amicable numbers under 10000.

1. #!/usr/bin/env python
2. import math
3. def Findsum (num ):
4.     sum= 1
5.     for i in range ( 2, int ( math. sqrt (num ) +1 ) ):
6.         if num%i== 0:
7.             sum+=i
8.             if i!=num/i:
9.                 sum+=num/i
10.     return sum
11.
12. def JlFindsum ( ):
13.     result= { }
14.     for i in range ( 10000 ):
15.         result [i ]=Findsum (i )
16.     return result
17.
18. def main ( ):
20.     result=JlFindsum ( )
21.     for i in range ( 1, 10000 ):
22.             if result [i ]< 10000 and i!=result [i ] and i==result [result [i ] ]:
25.
26. if __name__== "__main__":
27.     main ( )

( n 1) ... 3 2 1

Find the sum of the digits in the number 100!