Question
Sum of divisors of 25 ·37 ·53 · 72 is –
- 26 · 38 · 54 · 78
- 26 · 38 · 54 · 73 – 2 · 3 · 5 · 7
- 26 · 38 · 54 · 73 – 1
- None of these
The correct answer is: None of these
Any divisor of 25 · 37 · 53 · 72 is of the type of 2l 3m 5n 7p, where 0
l 5, 0 m 7, 0 n 3 and 0 p 2
Hence the sum of the divisors
= (1 + 2 + …… + 25) (1 + 3 + ……. + 37) (1 + 5 + 52 + 53) (1 + 7 + 72)
= 
=
.
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