Find the number of odd proper divisors of `3^pxx6^mxx21^ndot`

Find the total number of proper factors of the number 35700. Also find (1)sum of all these factors (2)sum of the odd proper divisors (3)the number of proper divisors divisible by 10 and the sum of these divisors.

2^m3^n5^p is a divisor of 2^10 cdot 3^8 cdot 5^7 if m, n and p are all whole number such that 0 le m le 10, 0 le n le 8 and 0 le p le 7 . also, (2^0 + 2^1 +.........+2^10)(3^0 + 3^1 +.......+3^8)(5^0+5^1+....+5^7) = sum of all the divisors of 2^10 cdot 3^8 cdot 5^7 The number of proper divisors of 16200 is

Find the number of divisors of 720. How many of these are even? Also find the sum of divisors.

Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which are perfect squares.

A positive integer n is of the form n=2^(alpha)3^(beta) , where alpha ge 1 , beta ge 1 . If n has 12 positive divisors and 2n has 15 positive divisors, then the number of positive divisors of 3n is

Let f(n)=sum_(r=0)^nsum_(k=r)^n(kC r) Find the total number of divisors of f(9)dot

The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is lamda . Then the number of divisors of lambda of the form 9k _____

The number of divisors of 2^2 cdot 3^3 cdot 5^5 cdot 7^5 of the form 4n + 1, n in N is

Find the number of common terms to the two sequences 17,21,25,...,417 and 16,21,26,...,466.