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Sequence

FOR N=2700 ...

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FOR N=2700 1 find total number of divisors 2 find the number of divisors divisible 15 but not by 4 3 find the sum of divisor 4 find the sum of even divisor

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Q. If n = 10800,
(a) Find total number of divisor of n.
(b) The number of even divisor.
(c) Find the number of divisor of the form 4m + 2.
(d) Find the number of divisor which are multiple of 15.

Q. Find the number of proper divisors of the number

N = 2^{p} . 3^{q} . 5^{r}

. Also find the sum of
(i) all the divisors of N
(ii) all the proper divisors of N.
(iii) all the proper divisors of N which are multiple of 3.

Q. Find the total number of positive divisors of

8640

including the trivial divisor.

Q. Total number of divisors of

N = 3^{5} {.5}^{7} {.7}^{9}

that are of the form

4 n + 1, n \geq 0

Q. Total number of divisor of

N = 2^{5} {.3}^{4} {.5}^{10} {.7}^{6}

that are of the form

4 n + 2, n \geq 1

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