720 (number)

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← 719 720 721 →
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.

Contents

In mathematics

720 is:

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. [4]

There are 49 solutions to the equation φ(x) = 720, more than any integer below it, making 720 a highly totient number. [5]


In other fields

720 is:

For the year AD, see 720.

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800 is the natural number following 799 and preceding 801.

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA002182(Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA002093(Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA037183(Smallest number that is palindromic (with at least 2 digits) in n bases)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Wells, David (1987). The Penguin Dictionary of Curious and Interesting Numbers . London: Penguin Books. p. 719.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA097942(Highly totient numbers: each number k on this list has more solutions to the equation phi(x) = k than any preceding k)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
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