Số 2016 trong Toán học

Các bạn hãy cùng chiêm ngưỡng vẻ đẹp của số 2016 nhé!

$2016 = {11111100000_2}$

$2016 = {2^{11}} - {2^5}$

$2016 = {2^{6 - 1}} \times \left( {{2^6} - 1} \right)$

$2016 = 2 \times 7! \div 5$

$2016 = {2^5} \times {3^2} \times 7$

$2016 = 1 + 2 + 3 +  \ldots  + 63 = \sum\limits_{k = 1}^{63} k $

$2016 = 1 + 5 + 9 + 13 +  \ldots  + 125 = \sum\limits_{k = 0}^{31} {(4k + 1)} $

$2016 = {2^{10}} + {2^9} + {2^8} + {2^7} + {2^6} + {2^5}$

$2016 = {3^3} + {4^3} + {5^3} + {6^3} + {7^3} + {8^3} + {9^3}$

$2016 = {2^3} + {4^3} + {6^3} + {12^3}$

$2016 = 2 \times \left( {{3^2} + {3^3} + {3^{2 + 3}} + {3^{2 \times 3}}} \right)$

$2016 = {1^2} - {2^2} + {3^2} - {4^2} +  \ldots  - {62^2} + {63^2} = \sum\limits_{k = 1}^{63} {{{( - 1)}^{k + 1}}{k^2}} $

$2016 = \sqrt {{1^3} + {2^3} + {3^3} +  \ldots  + {{62}^3} + {{63}^3}}  = \sqrt {\sum\limits_{k = 1}^{63} {{k^3}} } $

$2016 = {11^4} - {10^4} - {9^4} + {8^4} - {7^4} + {6^4} + {5^4} + {4^4} + {3^4} - {2^4} - {1^4}$

$2016 = 9!! + 8!! + 7!! + 6! - 5! - 4! + 3! - 2! + 1! + 0!$

$2016 = 1 + 2 + 4 + 8 + 16 + 32 + 63 + 126 + 252 + 504 + 1008$

$2016 = 666 + 666 + 666 + 6 + 6 + 6$

$2016 = 888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8$

$2016 = 999 + 999 + 9 + 9$

$2016 = 888 + 666 + 444 + 8 + 6 + 4$

$2016 = 999 + 777 + 99 + 77 + 9 + 7 + 9 + 7 + 9 + 7 + 9 + 7$

$2016 = 1234 + 567 + 89 + 123 + 1 + 2$

$2016 = 1243 + 5 + 678 + 90$

$2016 = 987 + 654 + 321 + 9 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1$