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Symbol opinion vote Comment: There is a discussion currently going at WPMATH, the current consensus is that the number is not notable. Check that topic for notability discussion updates. Primefac (talk) 20:04, 19 November 2014 (UTC)

Symbol opinion vote Comment: While these are all interesting facts, they do not make 360360 a "notable" number. Your references aren't valid (all they do is show calculations), but IF you could find some journal articles and/or books, it might help the claim of notability for this number. Primefac (talk) 22:06, 18 November 2014 (UTC)


360360 is the natural number following 360359 and preceding 360361. 360360 is a notable, natural number for several reasons.

  • It is the lowest natural number divisible by every number from 1 to 15.
  • It is a 13-smooth positive integer. (See: smooth number)
  • 23 × 32 × 5 × 7 × 11 × 13 = 360360.[1]
  • It shares similar properties with the infamous number 360, being a fairly composite number and being two "360"s appended together.
  • It has 192 divisors, the same as 332640, which is a highly composite number.
  • In binary, it is represented as 1010111111110101000 and in hexadecimal it is represented as 57FA8.[2]
  • 360360 converted from hexadecimal back to decimal is 3539808.

Divisors are [3] 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 20, 21, 22, 24, 26, 28, 30, 33, 35, 36, 39, 40, 42, 44, 45, 52, 55, 56, 60, 63, 65, 66, 70, 72, 77, 78, 84, 88, 90, 91, 99, 104, 105, 110, 117, 120, 126, 130, 132, 140, 143, 154, 156, 165, 168, 180, 182, 195, 198, 210, 220, 231, 234, 252, 260, 264, 273, 280, 286, 308, 312, 315, 330, 360, 364, 385, 390, 396, 420, 429, 440, 455, 462, 468, 495, 504, 520, 546, 572, 585, 616, 630, 660, 693, 715, 728, 770, 780, 792, 819, 840, 858, 910, 924, 936, 990, 1001, 1092, 1144, 1155, 1170, 1260, 1287, 1320, 1365, 1386, 1430, 1540, 1560, 1638, 1716, 1820, 1848, 1980, 2002, 2145, 2184, 2310, 2340, 2520, 2574, 2730, 2772, 2860, 3003, 3080, 3276, 3432, 3465, 3640, 3960, 4004, 4095, 4290, 4620, 4680, 5005, 5148, 5460, 5544, 5720, 6006, 6435, 6552, 6930, 8008, 8190, 8580, 9009, 9240, 10010, 10296, 10920, 12012, 12870, 13860, 15015, 16380, 17160, 18018, 20020, 24024, 25740, 27720, 30030, 32760, 36036, 40040, 45045, 51480, 60060, 72072, 90090, 120120, 180180, and 360360.

References

This article uses material from the Wikipedia article Draft:360360, that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
Author(s): Primefac Search for "Draft:360360" on Google
View Wikipedia's deletion log of "Draft:360360"
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