2520 (number)

← 2519 2520 2521 →
List of numbers Integers ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
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

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 ${\displaystyle 1\times 2\times 3\times 4\times 5\times 6\times 7}$.
• the product of five consecutive numbers, namely ${\displaystyle 3\times 4\times 5\times 6\times 7}$.
• 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

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

1. Sloane, N. J. A. (ed.). "SequenceA072938". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
2. Sloane, N. J. A. (ed.). "SequenceA106037". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
3. "properties of 2520". NumberWorld.info.