Wednesday, January 27, 2016

Mathematically 69

                                                              Sixty Nine (69)

1. It is the fifth number that stays same when written upside down.

2. It is the only number whose square and cube together use all the digits from 0 to 9.
69^2 = 4761
69^3 = 328509

3. 6 and 9 when rotated with 180 degree gives the same number. Moreover, the binary value of 6 and 9 are complement to each other.
(6)10 = 110 = (0110)2
(9)10 = (1001)2.

In binary number system 0 and 1 are complementary to each other here the complement of 0110 is 1001 which is nothing but the number 6 and 9 written in decimal system.

4. 10^69 + 69 and 10^69 - 69 is also prime number.

DR RAJESH KUMAR THAKUR
rkthakur1974@gmail.com

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