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Which number has this property?

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Of all the numbers whose literal representations in capital letters consists only of straight-line segments (for example, FIVE), only one number has a value equal to the number of segments used to write it. Which number has this property?

posted Apr 30, 2014 by Amarvansh

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+1 vote

The square of 13 is 169.
Take the last digit of the square, 9, and place it in the middle, making 196.
This is the square of 14, the next number above 13.
What are the next numbers which also have this property?

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A number with an interesting property:

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

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If you have to finish with a double in a game of darts, which number has the most number of different ways of finishing with 2 darts? (for instance 20 could be 18 and double 1, double 8 and double 2, treble 2 and double 7 etc )

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