# 60 (number)

 ← 59 60 61 →
Cardinalsixty
Ordinal60th
(sixtieth)
Numeral systemsexagesimal
Factorization22× 3 × 5
Divisors1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greek numeralΞ´
Roman numeralLX
Binary1111002
Ternary20203
Quaternary3304
Quinary2205
Senary1406
Octal748
Duodecimal5012
Vigesimal3020
Base 361O36

60 (sixty) () is the natural number following 59 and preceding 61. Being three times 20, it is called "three score" in older literature.

## In mathematics

It is a composite number, with divisors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, making it a highly composite number.[1] Because it is the sum of its unitary divisors (excluding itself), it is a unitary perfect number,[2] and it is an abundant number with an abundance of 48. Being ten times a perfect number, it is a semiperfect number.

It is the smallest number divisible by the numbers 1 to 6: there is no smaller number divisible by the numbers 1 to 5. It is the smallest number with exactly 12 divisors. It is one of seven integers that have more divisors than any number less than twice itself (sequence A072938 in the OEIS), one of six that are also lowest common multiple of a consecutive set of integers from 1, and one of six that are divisors of every highly composite number higher than itself.(sequence A106037 in the OEIS)

It is the sum of a pair of twin primes (29 + 31) and the sum of four consecutive primes (11 + 13 + 17 + 19). It is adjacent to two primes (59 and 61). It is the smallest number that is the sum of two odd primes in six ways.[3]

The smallest non-solvable group (A5) has order 60.

The icosidodecahedron has 60 edges, all equivalent.

There are four Archimedean solids with 60 vertices: the truncated icosahedron, the rhombicosidodecahedron, the snub dodecahedron, and the truncated dodecahedron. The skeletons of these polyhedra form 60-node vertex-transitive graphs. There are also two Archimedean solids with 60 edges: the snub cube and the icosidodecahedron. The skeleton of the icosidodecahedron forms a 60-edge symmetric graph.

There are 60 one-sided hexominoes, the polyominoes made from six squares.

In geometry, it is the number of seconds in a minute, and the number of minutes in a degree. In normal space, the three interior angles of an equilateral triangle each measure 60 degrees, adding up to 180 degrees.

Because it is divisible by the sum of its digits in base 10, it is a Harshad number.

A number system with base 60 is called sexagesimal (the original meaning of sexagesimal is sixtieth).

It is the smallest positive integer that is written with only the smallest and the largest digit of base 2 (binary), base 3 (ternary) and base 4 (quaternary).

Other Languages
العربية: 60 (عدد)
azərbaycanca: 60 (ədəd)
تۆرکجه: ۶۰ (سایی)
Bân-lâm-gú: 60
български: 60 (число)
བོད་ཡིག: ༦༠ (གྲངས་ཀ།)
català: Seixanta
Чӑвашла: 60 (хисеп)
čeština: 60 (číslo)
dansk: 60 (tal)
Deutsch: Sechzig
Ελληνικά: 60 (αριθμός)
emiliàn e rumagnòl: 60 (nùmer)
español: Sesenta
Esperanto: 60 (nombro)
euskara: Hirurogei
فارسی: ۶۰ (عدد)
français: 60 (nombre)
Gaeilge: 60 (uimhir)

한국어: 60
Hausa: Sittin
հայերեն: 60 (թիվ)
Արեւմտահայերէն: 60 (թիւ)
Bahasa Indonesia: 60 (angka)
interlingua: 60 (numero)
Iñupiak: Piŋasukipiaq
italiano: 60 (numero)
עברית: 60 (מספר)
ქართული: 60 (რიცხვი)
Kiswahili: Sitini
Kreyòl ayisyen: 60 (nonm)
kurdî: Şêst
лакку: РяхцӀалва
latviešu: 60 (skaitlis)
lietuvių: 60 (skaičius)
lingála: Tuku motóbá
Luganda: Nkaaga
lumbaart: Nümar 60
magyar: 60 (szám)
македонски: 60 (број)
Bahasa Melayu: 60 (nombor)
Mìng-dĕ̤ng-ngṳ̄: 60
Nederlands: 60 (getal)

Napulitano: Sissànta
norsk: 60 (tall)
norsk nynorsk: Talet 60
oʻzbekcha/ўзбекча: 60 (son)
پنجابی: 60
پښتو: ۶۰ (عدد)
polski: 60 (liczba)
português: Sessenta
русский: 60 (число)
Sesotho sa Leboa: 60 (nomoro)
Simple English: 60 (number)
slovenščina: 60 (število)
Soomaaliga: 60 (tiro)
کوردی: ٦٠ (ژمارە)
Sranantongo: Numro 60
српски / srpski: 60 (број)
suomi: 60 (luku)
svenska: 60 (tal)
Tagalog: 60 (bilang)
татарча/tatarça: 60 (сан)
ไทย: 60
ትግርኛ: ስሳ
Türkçe: 60 (sayı)
українська: 60 (число)
اردو: 60 (عدد)
Vahcuengh: 60
Tiếng Việt: 60 (số)
Winaray: 60 (ihap)
ייִדיש: 60 (נומער)