720 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| Cardinal | seven hundred twenty | |||
| Ordinal | 720th (seven hundred twentieth) | |||
| Factorization | 24 × 32 × 5 | |||
| Divisors | 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720 | |||
| Greek numeral | ΨΚ´ | |||
| Roman numeral | DCCXX | |||
| Binary | 10110100002 | |||
| Ternary | 2222003 | |||
| Quaternary | 231004 | |||
| Quinary | 103405 | |||
| Senary | 32006 | |||
| Octal | 13208 | |||
| Duodecimal | 50012 | |||
| Hexadecimal | 2D016 | |||
| Vigesimal | 1G020 | |||
| Base 36 | K036 | |||
720 (seven hundred [and] twenty) is the natural number following 719 and preceding 721.
It is 6! (6 factorial) and a composite number with thirty divisors, more than any number below, making it a highly composite number.[1] It is a Harshad number in every base from binary to decimal.
720 is expressible as the product of consecutive integers in two different ways: 720 = 1 × 2 × 3 × 4 × 5 × 6 and 720 = 8 × 9 × 10. [2]
There are 49 solutions to the equation φ(x) = 720, more than any integer below it, making 720 a highly totient number.
720 is a 241-gonal number.
In other fields
720 is:
- A common vertical display resolution for HDTV (see 720p).
- 720° is two full rotations; the term "720" refers to a skateboarding trick.
- 720° is also the name of a skateboarding video game.
- 720 is a dual area code in the Denver Metro Area along with 303.
- 720° is the sum of all the defects of any polyhedron.
- 720 is a short form of saying Boeing 720, an airliner which is no longer in service.
For the year AD, see 720.
References
- ↑ "Sloane's A002182 : Highly composite numbers". OEIS Foundation. https://oeis.org/A002182.
- ↑ Wells, David (1987). The Penguin Dictionary of Curious and Interesting Numbers. London: Penguin Books. pp. 719.
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