2520 (number)
Appearance
| ||||
---|---|---|---|---|
Cardinal | two thousand five hundred twenty | |||
Ordinal | 2520th (two thousand five hundred twentieth) | |||
Factorization | 23 × 32 × 5 × 7 | |||
Greek numeral | ,ΒΦΚ´ | |||
Roman numeral | MMDXX | |||
Binary | 1001110110002 | |||
Ternary | 101101003 | |||
Senary | 154006 | |||
Octal | 47308 | |||
Duodecimal | 156012 | |||
Hexadecimal | 9D816 |
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.
- half of 7! (5040), meaning 7 factorial, or .
- the product of five consecutive numbers, namely .
- a superior highly composite number.
- a colossally abundant number.
- 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.
- 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]- ^ Sloane, N. J. A. (ed.). "Sequence A072938". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A106037". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "properties of 2520". NumberWorld.info.