115 (number)

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Template:Use dmy dates Template:Infobox number 115 (one hundred [and] fifteen) is the natural number following 114 and preceding 116.

In mathematics

115 has a square sum of divisors:<ref>Template:Cite OEIS</ref>

<math>\sigma(115)=1+5+23+115=144=12^2.</math>

There are 115 different rooted trees with exactly eight nodes,<ref>Template:Cite OEIS</ref> 115 inequivalent ways of placing six rooks on a 6 × 6 chess board in such a way that no two of the rooks attack each other,<ref>Template:Cite OEIS</ref> and 115 solutions to the stamp folding problem for a strip of seven stamps.<ref>Template:Cite OEIS</ref>

115 is also a heptagonal pyramidal number.<ref>Template:Cite OEIS</ref> The 115th Woodall number,

<math>115\cdot 2^{115}-1=4\;776\;913\;109\;852\;041\;418\;248\;056\;622\;882\;488\;319,</math>

is a prime number.<ref>Template:Cite OEIS</ref> 115 is the sum of the first five heptagonal numbers.

See also

References

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