# 2520 (number)

| ||||
---|---|---|---|---|

Cardinal | two thousand five hundred twenty | |||

Ordinal |
2520th (two thousand five hundred and twentieth) | |||

Factorization |
2^{3}× 3^{2}× 5 × 7 | |||

Roman numeral | MMDXX | |||

Binary |
100111011000_{2} | |||

Ternary |
10110100_{3} | |||

Quaternary |
213120_{4} | |||

Quinary |
40040_{5} | |||

Senary |
15400_{6} | |||

Octal |
4730_{8} | |||

Duodecimal |
1560_{12} | |||

Hexadecimal |
9D8_{16} | |||

Vigesimal |
660_{20} | |||

Base 36 |
1Y0_{36} |

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

## In mathematics

**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 (1991
_{11}), 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

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

- ↑ "A072938 - OEIS".
*oeis.org*. - ↑ "A106037 - OEIS".
*oeis.org*. - ↑ "properties of 2520".
*NumberWorld.info*.

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