Saturday, October 16, 2010

Consecutive numbers

Between 1000 and 2000 you can get each integer as the sum of nonnegative consecutive integers.
For example,

147 + 148 + 149 + 150 + 151 + 152 + 153 = 1050

There is only one number that you cannot get.

What is this number?

Answer : it's the number 1024.

Could you explain why?
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