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

Related Research Articles

72 (seventy-two) is the natural number following 71 and preceding 73. It is half a gross or six dozen.

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68 (sixty-eight) is the natural number following 67 and preceding 69. It is an even number.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

400 is the natural number following 399 and preceding 401.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

132 is the natural number following 131 and preceding 133. It is 11 dozens.

229 is the natural number following 228 and preceding 230.

185 is the natural number following 184 and preceding 186.

235 is the integer following 234 and preceding 236.

148 is the natural number following 147 and before 149.

257 is the natural number following 256 and preceding 258.

178 is the natural number following 177 and preceding 179.

236 is the natural number following 235 and preceding 237.

888 is the natural number following 887 and preceding 889.

14 (fourteen) is the natural number following 13 and preceding 15.

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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