### Brain Teasers

# 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?

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

There is only one number that you cannot get.

What is this number?

### Hint

I hope you got the power!### Answer

1024Only powers of 2 are not reachable, and the next number is 2048.

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