132 (liczba)

132
127 128 129 130 131 132 133 134 135 136 137

80 90 100 110 120 130 140 150 160 170 180

faktoryzacja

dzielniki

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

zapis rzymski

CXXXII

dwójkowo

10000100

ósemkowo

204

szesnastkowo

84

Wartości funkcji arytmetycznych
φ(132) = 40 τ(132) = 12
σ(132) = 40 π(132) = 32
μ(132) = 0 M(132) = −3

132 (sto trzydzieści dwa) – liczba naturalna następująca po 131 i poprzedzająca 133.

W matematyce

  • 132 jest szóstą liczbą Catalana[1]
  • 132 jest liczbą Harshada[2]
  • 132 jest najmniejszą liczbą będącą sumą wszystkich możliwych kombinacji cyfr, które ją tworzą (12 + 13 + 21 + 23 + 31 + 32 = 132)
  • 132 jest sumą kolejnych sześciu liczb pierwszych (13 + 17 + 19 + 23 + 29 + 31 = 132)
  • 132 jest palindromem liczbowym, czyli może być czytana w obu kierunkach, w pozycyjnym systemie liczbowym o bazie 32 (44)
  • 132 należy do czternastu trójek pitagorejskich (55, 132, 143), (85, 132, 157), (99, 132, 165), (132, 176, 220), (132, 224, 260), (132, 351, 375), (132, 385, 407), (132, 475, 493), (132, 720, 732), (132, 1085, 1093), (132, 1449, 1455), (132, 2176, 2180), (132, 4355, 4357).

W nauce

W kalendarzu

132. dniem w roku jest 12 maja (w latach przestępnych jest to 11 maja). Zobacz też co wydarzyło się w roku 132, oraz w roku 132 p.n.e.

Zobacz też

Przypisy

  1. Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). Also called Segner numbers.. The On-Line Encyclopedia of Integer Sequences. [dostęp 2017-03-15]. (ang.).
  2. Niven (or Harshad) numbers: numbers that are divisible by the sum of their digits.. The On-Line Encyclopedia of Integer Sequences. [dostęp 2017-03-15]. (ang.).

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