MathDB
Manipulating Divisors

Source:

January 5, 2007
floor functionAMCAIMEnumber theoryrelatively primeAIME I

Problem Statement

Let SS be the sum of all numbers of the form a/b,a/b, where aa and bb are relatively prime positive divisors of 1000.1000. What is the greatest integer that does not exceed S/10?S/10?
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