720 (number)

Source: Wikipedia, the free encyclopedia.
← 719
720
721 →
Greek numeralΨΚ´
Roman numeralDCCXX
Binary10110100002
Ternary2222003
Senary32006
Octal13208
Duodecimal50012
Hexadecimal2D016

720 (seven hundred [and] twenty) is the natural number following 719 and preceding 721.

In mathematics

It is 6! (

6 factorial) and a composite number with 30 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:

For the year AD, see 720.

References

  1. ^ "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. ^ Wells, David (1987). The Penguin Dictionary of Curious and Interesting Numbers. London: Penguin Books. p. 719.