75 (number)
From Infogalactic: the planetary knowledge core
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Cardinal | seventy-five | |||
Ordinal | 75th (seventy-fifth) |
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Factorization | 3 × 52 | |||
Divisors | 1, 3, 5, 15, 25, 75 | |||
Roman numeral | LXXV | |||
Binary | 10010112 | |||
Ternary | 22103 | |||
Quaternary | 10234 | |||
Quinary | 3005 | |||
Senary | 2036 | |||
Octal | 1138 | |||
Duodecimal | 6312 | |||
Hexadecimal | 4B16 | |||
Vigesimal | 3F20 | |||
Base 36 | 2336 |
75 (seventy-five) is the natural number following 74 and preceding 76.
In mathematics
75 is:
- the fourth ordered Bell number, and counts the number of weak orderings on a set of four items.[1]
- the sum of the first five pentagonal numbers, and therefore a pentagonal pyramidal number.[2]
- an enneagonal number.[3]
- a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 7, 5, 12, 17, 29, 46, 75...[4]
- a self number because there is no integer that added up to its own digits adds up to 75.[5]
- a palindromic number in bases 14 (5514) and 24 (3324).
- a Harshad number in bases 3, 5, 6, 8, 11, 13, 15 and 16.
Excluding the infinite sets, there are 75 uniform polyhedra (or 76 if edges are allowed to coincide).
In other fields
Seventy-five is:
- The atomic number of rhenium.
- The age limit for Canadian senators.[6]
- A common name for the Canon de 75 modèle 1897, a French World War 1 gun.
- The departement number of the city of Paris.
References
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- ↑ “Who are our senators and what do they do?”, Parliament of Canada, retrieved 2014-02-02.