11340的所有因数之和是多少?
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11340=2²x3⁴x5x7
s=[(2^(2+1)-1)/(2-1)]*[(3^(4+1)-1)/(3-1)]*[(5^(1+1)-1)/(5-1)]*[(7^(1+1)-1)/(7-1)]
=[(2^3-1)/(2-1)]*[(3^5-1)/(3-1)]*[(5^2-1)/(5-1)]*[(7^2-1)/(7-1)]
=[(8-1)/(2-1)]*[(243-1)/(3-1)]*[(25-1)/(5-1)]*[(49-1)/(7-1)]
=[(7)/(1)]*[(242)/(2)]*[(24)/(4)]*[(48)/(6)]
=7*121*6*8
=847*6*8
=5082*8
=40656
s=[(2^(2+1)-1)/(2-1)]*[(3^(4+1)-1)/(3-1)]*[(5^(1+1)-1)/(5-1)]*[(7^(1+1)-1)/(7-1)]
=[(2^3-1)/(2-1)]*[(3^5-1)/(3-1)]*[(5^2-1)/(5-1)]*[(7^2-1)/(7-1)]
=[(8-1)/(2-1)]*[(243-1)/(3-1)]*[(25-1)/(5-1)]*[(49-1)/(7-1)]
=[(7)/(1)]*[(242)/(2)]*[(24)/(4)]*[(48)/(6)]
=7*121*6*8
=847*6*8
=5082*8
=40656
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