Numbers 170,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

100,000,000 110,000,000120,000,000130,000,000 – 140,000,000

  All Numbers  150,000,000160,000,000170,000,000180,000,000190,000,000

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

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170,067,681

[Math.] Sum of the first 161 cube numbers:

13+23+…+1613 = 170,067,681 = (1+2+…+161)2 = 13,0412.

 

172,839,506

[Math.]  Multiples of 012345679 by 5, 14, 23, 32, 41, 50, 59, 68 and 77 will yield all 9 rotations of 061728395: 061728395, 172839506, 283950617, 395061728, 506172839, 617283950, 728395061, 839506172 and 950617283. All numbers are missing digit 4.

 

172,843,609

[Math.]  131472 = 172,843,609, a square using all 9 digits 0-9 once, except digit 5.

 

174,319,209

[Math.]  Sum of the first 162 cube numbers:

13+23+…+1623 = 174,319,209 = (1+2+…+162)2 = 13,2032.

 

174,900,625

[Math.]  174,900,625 = (174–90+06+25)4 = 1154.

 

175,308,642

[Math.]  Number 087,654,321 misses one digit 9 in 10 digits 0-9 and so do its multiplies

087,654,321×2 = 175,308,642,

087,654,321×4 = 350,617,284,

087,654,321×5 = 438,271,605,

087,654,321×7 = 613,580,247 and

087,654,321×8 = 701,234,568.

 

175,959,000

[Math.]  The 2nd smallest number that can be expressed as the sum of 2 cube numbers in 3 non-trivial ways: 175,959,000 = 5603+703 = 5253+3153 = 5523+1983, (Gerardin, 1908). The smallest such number is: 87,539,319 = 4363+1673 = 4233+2283 = 4143+2553, (Leech, 1957). Next: 327,763,300 = 3003+6703 = 3393+6613 = 5103+5803. (References [14])

 

176,039,824

[Math.] 132682 = 176,039,824, a square using all 9 digits 0-9 once, except digit 5.

 

176,214,841

[Math.]  Subfactorial of 12 is !12 = 176,214,841.

 

176,305,284

[Math.]  132782 = 176,305,284, one of 22 squares using all 9 digits 0-8 once.

 

176,949,540

[Math.]  Sum (in degrees) of all internal angles of a 983,055-side polygon. A regular 983055-side polygon is constructible by using only straightedge and compass.

 

178,035,649

[Math.] 133432 = 178,035,649, a square using all 9 digits 0-9 once, except digit 5.

 

178,649,956

[Math.]  Sum of the first 163 cube numbers:

13+23+…+1633 = 178,649,956 = (1+2+…+163)2 = 13,3662.

 

179,424,673

[Math.] The 10,000,000th prime number. 

 

 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.