115 (number)

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114 115 116
Cardinal one hundred fifteen
Ordinal 115th
(one hundred fifteenth)
Factorization 5 × 23
Divisors 1, 5, 23, 115
Greek numeral ΡΙΕ´
Roman numeral CXV
Binary 11100112
Ternary 110213
Senary 3116
Octal 1638
Duodecimal 9712
Hexadecimal 7316

115 (one hundred [and] fifteen) is the natural number following 114 and preceding 116.

Contents

In mathematics

115 has a square sum of divisors: [1]

There are 115 different rooted trees with exactly eight nodes, [2] 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, [3] and 115 solutions to the stamp folding problem for a strip of seven stamps. [4]

115 is also a heptagonal pyramidal number. [5] The 115th Woodall number,

is a prime number. [6] 115 is the sum of the first five heptagonal numbers.

See also

Related Research Articles

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References

  1. Sloane, N. J. A. (ed.). "SequenceA006532(Numbers n such that sum of divisors of n is a square)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA000081(Number of rooted trees with n nodes (or connected functions with a fixed point))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "SequenceA000903(Number of inequivalent ways of placing n nonattacking rooks on n X n board)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "SequenceA002369(Number of ways of folding a strip of n rectangular stamps)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. Sloane, N. J. A. (ed.). "SequenceA002413(Heptagonal (or 7-gonal) pyramidal numbers: n*(n+1)*(5*n-2)/6)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. Sloane, N. J. A. (ed.). "SequenceA002234(Numbers n such that the Woodall number n*2^n - 1 is prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.