Thursday, August 26, 2010

966

966 = 2 x 3 x 7 x 23.

966 is 1022210 in base 3 and 686 in base 12.

966 is the sum of eight consecutive primes: 966 = 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139.

966 is the largest number that is 46 times the sum of its digits: 966 = 46 x (9 + 6 + 6).

The sum of the digits of 966 is seven times the number of digits: 9 + 6 + 6 = 7 x 3 = 21.


966 is the telephone country code for Saudi Arabia.

1 comment:

Matthew said...

We were discussing the assertion that "966 is the largest number that is 46 times the sum of its digits: 966 = 46 x (9 + 6 + 6)."

What is the proof?