Numbers 860,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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

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864,197,523

[Math.]  Numbers 123,456,789 and its multiples:

123,456,789×2 = 246,913,578, 123,456,789×4 = 493,827,156,

123,456,789×5 = 617,283,945, 123,456,789×7 = 864,197,523 and

123,456,789×8 = 987,654,312 are all zero-less pan-digital numbers.  Hence, there are zero-less pan-digital number equalities:

123,456,789×493,827,156 = 246,913,5782

246,913,578×987,654,312 = 493,827,1562.

Also, multiples of 123,456,789 with some numbers from 10 to 80, give pan-digital numbers.

864,197,530

[Math.]  Multiples of 012345679 by 7, 16, 25, 34, 43, 52, 61, 70 and 79 will yield all 9 rotations of 086419753: 086419753, 197530864, 308641975, 419753086, 530864197, 641975308, 753086419, 864197530 and 975308641. All numbers are missing digit 2.

864,197,532

[Math.]  987,654,321–123,456,789 = 864,197,532; All 3 numbers are zero-less pan-digital.

864,536,409

[Math.]  Sum of the first 242 cube numbers:

13+23+…+2423 = 864,536,409 = (1+2+…+242)2 = 29,4032.

869,442,895

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

869,442,895 = 42782+…+43242 = 43252+…+43702.

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.