76 (number)
From Infogalactic: the planetary knowledge core
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Cardinal | seventy-six | |||
Ordinal | 76th (seventy-sixth) |
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Factorization | 22× 19 | |||
Divisors | 1, 2, 4, 19, 38, 76 | |||
Roman numeral | LXXVI | |||
Binary | 10011002 | |||
Ternary | 22113 | |||
Quaternary | 10304 | |||
Quinary | 3015 | |||
Senary | 2046 | |||
Octal | 1148 | |||
Duodecimal | 6412 | |||
Hexadecimal | 4C16 | |||
Vigesimal | 3G20 | |||
Base 36 | 2436 |
76 (seventy-six) is the natural number following 75 and preceding 77.
In mathematics
76 is:
- a Lucas number.[1]
- an automorphic number.[2]
- a nontotient.[3]
- a 14-gonal number.[4]
- a centered pentagonal number.[5]
- a telephone number.
- a palindromic number and a repdigit in bases 18 (4418) and 37 (2237).
- a Harshad number in bases 4 and 5.
- an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.[6]
In decimal, all powers of 76 also end in the same last two digits (e.g. 762 = 5776). The only other two-digit number with such property is 25.
Karl A. Dahlke proved that 76 heptominoes of this shape ( File:Heptomino-78.png), are able to fill a rectangle[7]
In science
- The atomic number of osmium.
- The Little Dumbbell Nebula in the constellation Pegasus is designated as Messier object 76 (M76).
In other fields
Seventy-six is also:
- The Spirit of ’76, patriotic painting by Archibald MacNeal Willard.
- A brand of ConocoPhillips gas stations, 76
- The number of trombonists leading the parade in "Seventy-Six Trombones," from Meredith Willson's musical The Music Man
- Municipal Okrug #76, name of Balkansky Municipal Okrug of Frunzensky District of Saint Petersburg, Russia, before 2008
- The 76ers, a professional basketball team based in Philadelphia
- 76 (album), the debut album of Dutch trance producer and DJ Armin van Buuren
See also
The I-76 western highway is mostly in Colorado, and the I-76 eastern highway is mostly in Pennsylvania
References
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