750=2×3×5×5×5
750的约数一共有:(1+1)*(1+1)*(3+1)=16个
所有约数的和,为:(1+2)*(1+3)*(1+5+25+125)=3*4*156=1872
分别为:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
它们的倒数和,为:
(1+1/750)+(1/2+1/375)+(1/3+1/250)+...+(1/25+1/30)
=(750+1)/750+(375+2)/750+...+(30+25)/750
=(750所有约数的和)/750
=1872/750
=312/125