| ||||
|---|---|---|---|---|
| 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 | |||
| Senary | 32006 | |||
| Octal | 13208 | |||
| Duodecimal | 50012 | |||
| Hexadecimal | 2D016 | |||
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 the smallest number with exactly thirty divisors.
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". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
- ↑ Wells, David (1987). The Penguin Dictionary of Curious and Interesting Numbers. London: Penguin Books. p. 719.
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