**From New Scientist #2752, 20th March 2010** [link]

I have in mind a number *N*. I’ll tell you some things about it:

It is more than 2. If you draw a figure with that number of straight sides, with all its angles the same and with all the vertices lying on a circle, then all the sides will be equal in length. And the angles will be whole numbers of degrees.

And how many of the numbers 1, 2, 3,… , *N* divide exactly into *N*? I’ve worked out that number and I’ll tell you something about it:

It is more than 2. If you draw a figure with that number of straight sides, with all its angles the same, and with all the vertices lying on a circle, then all the sides will be equal in length. And the angles will be whole numbers of degrees.

What is *N*?

[enigma1587]

### Like this:

Like Loading...

*Related*

The following Python program runs in 33ms.

Solution:N = 9.