Tuesday, February 28, 2012

940

940 = 2 x 2 x 5 x 47.

940 has a unique representation as a sum of three squares: 940 = 22 + 62 + 302.

940 is the sum of the squares for four consecutive primes: 940 = 112 + 132 + 172 + 192.

The sum of the divisors of 940 is a triangular number: 1 + 2 + 4 + 5 + 10 + 20 + 47 + 94 + 188 + 235 + 470 + 940 = 2016, the 63rd triangular number.


940 is the maximum number of regions into which 15 spheres can divide space.

Source: What's Special About This Number?

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