Numbers 270,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M] & [1B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

271,293,841

[Math.]  Sum of the first 181 cube numbers:

13+23+…+1813 = 271,293,841 = (1+2+…+181)2 = 16,4712.

271,604,938

[Math.]  Multiples of 012345679 by 4, 13, 22, 31, 40, 49, 58, 67 and 76 will yield all 9 rotations of 049382716: 049382716, 160493827, 271604938, 382716049, 493827160, 604938271, 716049382, 827160493 and 938271604. All numbers are missing digit 5.

271,669,860

[Math.]  The 12th square number that is also a triangular number: 271,669,8602 = 1+2+…+384,199,200. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 62, 352, 2042, 11892

272,097,792

[Math.]  6483 = 272,097,792 = (–27–20–97+792)3.

273,869,401

[Math.]  165492 = 273,869,401, a square using all 9 digits 0-9 once, except digit 5.

277,322,409

[Math.]  Sum of the first 182 cube numbers:

13+23+…+1823 = 277,322,409 = (1+2+…+182)2 = 16,6532.

277,722,225

[Math.]  Inserting 72 between 2 digits 2 in the square number 225 = 152 and repeatedly inserting numbers 72 between the digits 7 and 2 yields other squares 27225 = 1652, 2772225  = 16652, 277722225 = 166652, 27777222225 = 1666652, 2777772222225 = 16666652

279,999,972

[Math.]

7,683,984 = 1584×4851 = 27722

782432784 = 15984×48951 = 279722

78384320784 = 159984×489951 = 2799722

7839843200784 = 1599984×4899951 = 27999722

783998432000784 = 15999984×48999951 = 279999722

78399984320000,784 = 159999984×489999951 = 2799999722

7839…9984320000784 = 159…999984×489…999951 = 279…9999722

...

xyz,abc,def

[Math.]  For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number  xyz,abc,def is a multiple of 142,857.

For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.