Jump to content

2520 (number)

From Wikipedia, the free encyclopedia
2519 2520 2521
Cardinaltwo thousand five hundred twenty
Ordinal2520th
(two thousand five hundred twentieth)
Factorization23 × 32 × 5 × 7
Greek numeral,ΒΦΚ´
Roman numeralMMDXX, mmdxx
Binary1001110110002
Ternary101101003
Senary154006
Octal47308
Duodecimal156012
Hexadecimal9D816

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

In mathematics

[edit]

2520 is:

  • the smallest number divisible by all integers from one to ten, i.e., it is their least common multiple.
  • the last highly composite number that 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 undecimal (199111) and a repdigit in bases 55, 59, and 62.
  • a Harshad number in all bases between binary and hexadecimal.
  • the aliquot sum of 1080.

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. Sloane, N. J. A. (ed.). "Sequence A072938". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A106037". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. "properties of 2520". NumberWorld.info.