76 (number)
For other uses, see 76 (disambiguation).
This article is about the number. For the comic set in 1976, see '76 (comics). For the unrelated comic book characters, see Spirit of '76. For the year, see 1976. For the upcoming film, see '76 (film).
| ||||
|---|---|---|---|---|
| Cardinal | seventy-six | |||
| Ordinal |
76th (seventy-sixth) | |||
| 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 ( 
), 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
The Bennington Flag features the number 76
Seventy-six is also:
- In colloquial American parlance, reference to 1776, the year of the signing of the United States Declaration of Independence.
- 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
- An Overwatch hero, Soldier: 76
See also
The I-76 western highway is mostly in Colorado, and the I-76 eastern highway is mostly in Pennsylvania
References
- ↑ "Sloane's A000032 : Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A051866 : 14-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "7-omino, Order 76". Retrieved October 6, 2014.
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