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If N = 2910600, total number of divisors...

If N = 2910600, total number of divisors of N which are divisible by 15 but not divisible by 36.

Text Solution

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N=29106*100
=11*2646*100
=11*6*441*100
`=11*2*3*7^2*3^2*2^2*5^2`
`=2^3*3^3*7^2*11*5^2`
15=3*5
`36=9*4=3^2*2^2`
`(1+2+2^2+2^3)*(1+3+3^2+3^3)*(1*7*7^2)*(1*11)*(1*5*5^2)`
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