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280 (number)

From Wikipedia, the free encyclopedia
This article covers the number 280. For the year, see280.
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Natural number
← 279280 281 →
Cardinaltwo hundred eighty
Ordinal280th
(two hundred eightieth)
Factorization23 × 5 × 7
Greek numeralΣΠ´
Roman numeralCCLXXX,cclxxx
Binary1000110002
Ternary1011013
Senary11446
Octal4308
Duodecimal1B412
Hexadecimal11816

280 (two hundred [and] eighty) is thenatural number after279 and before281.

In mathematics

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The denominator of the eighthharmonic number,[1] 280 is anoctagonal number.[2] 280 is the smallest octagonal number that is a half of another octagonal number.

There are 280 planetrees with ten nodes.As a consequence of this, 18 people around a round table can shake hands with each other in non-crossing ways, in 280 different ways (this includes rotations).[disputeddiscuss]

References

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  1. ^"Sloane's A002805 : Denominators of harmonic numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-28.
  2. ^"Sloane's A000567 : Octagonal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-28.
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