5040 (number)

← 5039 5040 5041 →
Cardinalfive thousand forty
Ordinal5040th
(five thousand fortieth)
Factorization24 × 32 × 5 × 7
Divisors1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
Greek numeral,ΕΜ´
Roman numeralVXL
Binary10011101100002
Ternary202202003
Senary352006
Octal116608
Duodecimal2B0012
Hexadecimal13B016

5040 (five thousand [and] forty) is the natural number following 5039 and preceding 5041.

It is a factorial (7!), the 8th superior highly composite number,[1] the 19th highly composite number,[2] an abundant number, the 8th colossally abundant number[3] and the number of permutations of 4 items out of 10 choices (10 × 9 × 8 × 7 = 5040). It is also one less than a square, making (7, 71) a Brown number pair.

  1. ^ "A002201 - OEIS". oeis.org. Retrieved 2024-11-28.
  2. ^ "A002182 - OEIS". oeis.org. Retrieved 2024-11-28.
  3. ^ "A004490 - OEIS". oeis.org. Retrieved 2024-11-28.

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