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Bold Minimum (Posted on 2009-12-12) Difficulty: 3 of 5
A positive integer X is defined as a bold number if precisely 8 of its distinct divisors sum to 3240. The total number of divisors of X may or may not be equal to 8.

Determine the minimum positive bold number.

  Submitted by K Sengupta    
Rating: 4.5000 (2 votes)
Solution: (Hide)
The minimum positive value of the bold number is 1260.

For an explanation, refer to the respective solutions submitted by Justin and Dej Mar here and here.

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*** Based on Brazilian Mathematics Olympiad 2006, Problem 4

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): solutionDej Mar2009-12-13 17:01:43
re(2): solutionJustin2009-12-12 19:45:08
re: solutionKenny M2009-12-12 18:35:58
SolutionsolutionDej Mar2009-12-12 16:50:08
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