Numbers 690,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

All Numbers  600,000,000 610,000,000620,000,000630,000,000 – 640,000,000

650,000,000660,000,000670,000,000680,000,000690,000,000

[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 ...

691,350,247

[Math.] Number 098,764,321 misses one digit 5 in 10 digits 0-9:

98,764,321×5 = 493,821,605 misses one digit 7 (modulo 9)

98,764,321×7 = 691,350,247 misses one digit 8 (modulo 9).

 

691,358,024

[Math.] Number 098,765,432 misses one digit 1 in 10 digits 0-9:

098,765,432×2 = 197,530,864 misses one digit 2 (modulo 9)

098,765,432×4 = 395,061,728 misses one digit 4 (modulo 9)

098,765,432×5 = 493,827,160 misses one digit 5 (modulo 9)

098,765,432×7 = 691,358,024 misses one digit 7 (modulo 9)

098,765,432×8 = 790,123,456 misses one digit 8 (modulo 9)

and 098,765,432×9 = 888,888,888.

 

691,358,024

[Math.] Multiples of 012345679 by 2, 11, 20, 29, 38, 47, 56, 65 and 74 will yield all 9 rotations of 024691358: 024691358, 135802469, 246913580, 358024691, 469135802, 580246913, 691358024, 802469135 and 913580246. All numbers are missing digit 7.

 

691,795,204

[Math.]  263022 = 691,795,204, a square using all 9 digits 0-9 once, except digit 8.

 

693,532,225

[Math.] Sum of the first 229 cube numbers:

13+23+…+2293 = 693,532,225 = (1+2+…+229)2 = 26,3352.

 

694,375,201

[Math.]  263512 = 694,375,201, a square using all 9 digits 0-9 once, except digit 8.

 

697,435,281

[Math.]  264092 = 697,435,281, one of thirty 9-digit square numbers using all 9 digits 1-9 once.

 

697,860,570

[Math.]  Two consecutive sums of consecutive square numbers:

697,860,570 = 39162+…+39602 = 39612+…+40042. 


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.