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  4. The sum of all the positive divisors of 960 excluding 1 and itself is

Q. The sum of all the positive divisors of 960 excluding 1 and itself is

 2777  213 COMEDKCOMEDK 2006Permutations and Combinations Report Error

Solution:

First factor 960 = 3*5*(2^6)
Set of divisors excluding 1 and 960 = powers of 2 = 2,4,8,16,32,64
3 and (powers of 2)x3 = 3,6,12,24,48,96,192
5 and (powers of 2)x5 = 5,10,20,40,80,160,320
3x5 and (powers of 2)x15 = 15,30,60,120,240,480,
Sum of all = 2087