Find the total number of proper factors of the number 35700. Also find 01)sum of all these factors 02)sum of the odd proper divisors

Explanation

`because35700=2^(2)xx3^(1)xx5^(2)xx7^(1)xx17^(1)`
`therefore`Required number of odd proper divisors
=Total number of selections of zero 2 and any number of 3's or 5's or 7's or 17's
`=(1+1)(2+1)(1+1)(1+1)-1=23`
`therefore` The sum of odd proper divisors
`=(3^(0)+3^(1))(5^(0)+5^(1)+5^(2))(7^(0)+7^(1))(17^(0)+7^(1))-1`
`=4xx31xx8xx18-1`
`=17856-1=17855`