2520 (number)

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← 2519 2520 2521 →
Cardinal two thousand five hundred twenty
Ordinal 2520th
(two thousand five hundred and twentieth)
Factorization 23× 32× 5 × 7
Roman numeral MMDXX
Binary 1001110110002
Ternary 101101003
Quaternary 2131204
Quinary 400405
Senary 154006
Octal 47308
Duodecimal 156012
Hexadecimal 9D816
Vigesimal 66020
Base 36 1Y036

2520 (two thousand five hundred twenty) is the natural number following 2519 and preceding 2521.

In mathematics[edit]

2520 is:

  • the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.
  • half of 7! (5040), meaning 7 factorial, or 1×2×3×4×5×6×7.
  • the product of five consecutive numbers, namely 3×4×5×6×7.
  • a superior highly composite number.
  • a colossally abundant number.
  • the last highly composite number which is half of the next highly composite number.[1]
  • the last highly composite number that is a divisor of all following highly composite numbers.[2]
  • palindromic in bases 11 (199111), and a repdigit in bases 55, 59 and 62.
  • a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16.
  • the aliquot sum of 1080.
  • part of the 53-aliquot tree. The complete aliquot sequence starting at 1080 is: 1080, 2520, 6840, 16560, 41472, 82311, 27441, 12209, 451, 53, 1, 0.

Factors[edit]

The factors, also called divisors, of 2520 are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.[3]

References[edit]

  1. ^ "A072938 - OEIS". oeis.org. 
  2. ^ "A106037 - OEIS". oeis.org. 
  3. ^ "properties of 2520". NumberWorld.info.