112 (number)

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← 111 112 113 →
Cardinal one hundred twelve
Ordinal 112th
(one hundred twelfth)
Factorization 24 × 7
Divisors 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greek numeral ΡΙΒ´
Roman numeral CXII, cxii
Binary 11100002
Ternary 110113
Senary 3046
Octal 1608
Duodecimal 9412
Hexadecimal 7016

112 (one hundred [and] twelve) is the natural number following 111 and preceding 113.

Contents

Mathematics

112 is an abundant number, a heptagonal number, [1] and a Harshad number. [2]

112 is the number of connected graphs on 6 unlabeled nodes. [3]

If an equilateral triangle has sides of length 112, then it contains an interior point at integer distances 57, 65, and 73 from its vertices. This is the smallest possible side length of an equilateral triangle that contains a point at integer distances from the vertices. [4]

See also

References

  1. ↑ "Sloane's A000566 : Heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  2. ↑ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  3. ↑ "Sloane's A001349 : Number of connected graphs with n nodes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-12-19.
  4. ↑ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987), page 119


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