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Question

The sum of the divisors of 23.34.52 is:

A
15625
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B
1234
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C
56265
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D
56789
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Solution

The correct option is C 56265
Any divisor of 23.34.52 is of the form 2a.3b.5c where 0a3,0b4 and 0c2 Thus, the sum of the divisors of 23.34.52 is
(1+2+....+23)(1+3+....+34)(1+5+52)=(241)(351)(531)(21)(31)(51)=15×242×1241×2×4=56265

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