Difference between revisions of "1986 AIME Problems/Problem 8"

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== Problem ==
 
== Problem ==
 
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Let <math>\displaystyle S</math> be the sum of the base <math>\displaystyle 10</math> logarithms of all the proper divisors of <math>\displaystyle 1000000</math>. What is the integer nearest to <math>\displaystyle S</math>?
 
== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==

Revision as of 19:04, 10 February 2007

Problem

Let $\displaystyle S$ be the sum of the base $\displaystyle 10$ logarithms of all the proper divisors of $\displaystyle 1000000$. What is the integer nearest to $\displaystyle S$?

Solution

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See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions