720 (number)

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720
Cardinal Seven hundred [and] twenty
Ordinal 720th
(Seven hundred [and] twentieth)
Factorization 2^4 \cdot 3^2 \cdot 5
Divisor(s) 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
Roman numeral DCCXX
Binary 1011010000
Hexadecimal 2D0

Seven hundred twenty is the natural number following 719 and preceding 721.

It is 6! (6 factorial), a composite number with thirty divisors, more than any number below, making it a highly composite number. 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 = 2 × 3 × 4 × 5 × 6 = 8 × 9 × 10. [1] [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.

[edit] In other fields

720 is

For the year AD, see 720.

[edit] References

  1. ^ Wells, David (1987). The Penguin Dictionary of Curious and Interesting Numbers. London: Penguin Books, 719. 
  2. ^ Sequence A100933 at the On-Line_Encyclopedia_of_Integer_Sequences