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sweet08 (72)

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Olaaa!! Perrrfect answer. 12  [18 rates]

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total posts: 40    
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--------->for a given no.  N=(P^m)(Q^n)(R^s)......whereP,Q,R are prime nos     then no. of divisors=(m+1)(n+1)(s+1)
5400=3^3.2^3.5^2
so no of divisors=(3+1)(3+1)(2+1)=4*4*3=48
including the no. & 1
-------->sum of divisors=(1+P^1+P^2+P^3+........P^m)(1+Q^1+Q^2+..........Q^n)(1+R^1+R^2+..............R^s)
5400  sum of divisors==(1+3+3^2+3^3)(1+2+2^2+2^3)(1+5+5^2)
                                =40*15*31=18600
 
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