Sixty

Sixty
	60
presentation
Roman	LX
dual	11 1100
Octal	74
Duodecimal	50
Hexadecimal	3C
Morse code	- · · · · - - - - -
Mathematical properties
sign	positive
parity	straight
Factorization
Divider	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Multiplication table of the more unitary ring shown graphically. More detailed explanation by clicking on the picture in its description.

{\ displaystyle \ mathbb {Z} / 60 \ mathbb {Z}}

60 is a number with diverse mathematical, historical and symbolic meanings:

60 as the basis of payment systems:

The Babylonian number system was based on sixty and thus formed a so-called sexagesimal system .
in time measurement, the number of seconds in a minute and the number of minutes in an hour .
in geometry the number of arc seconds in one arc minute and the number of arc minutes in one degree .
- From the historically determined definition of a full angle as 360 ° (see degrees ) it follows that the angles of an equilateral triangle are each 60 °.

Mathematical properties

Divider

Determination of the number:

Canonical prime factorization: ${\ displaystyle 60 = 2 ^ {2} \ times 3 ^ {1} \ times 5 ^ {1}}$
Multiplication of the exponents increased by 1: ${\ displaystyle \ tau (60) = 3 \ cdot 2 \ cdot 2 = 12}$

Its divisors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60. This makes 60 a very easily divisible number, which is why it is particularly suitable for dividing time intervals.

Disassembly

Decomposition into square numbers:

{\ displaystyle 60 = 8 ^ {2} -2 ^ {2}}

additional

60 is the order of the smallest simple non-commutative group A5, the alternating group of five elements or rotating group of the icosahedron (see also icosahedron group ).

The list of special numbers describes other mathematical properties of the number 60 .

Others

Sixty further denotes:

a diamond anniversary year
in ancient Persia water was symbolic

in the Chinese calendar the Chinese cycle

an abbreviation for the football club 1860 Munich (also Munich 60, 60s)

the atomic number of neodymium

As a counting measure, 60 was formerly also referred to as a room or shock , see old weights and measures

Artist name of the moderator Achim Bogdahn

Pension:

The age of 60 is relevant for a number of regulations. In the GDR it was the normal retirement age for women. In the Federal Republic of Germany this rule was valid until 1999. Since January 2000 the age limit has been raised in sixty monthly steps to 65 years and later to 67 years, even higher values are already being discussed. However, until 2012 women still had the option to retire at the age of sixty under certain conditions.

Web links

Commons : Sixty - Collection of images, videos, and audio files

Wiktionary: sixty - explanations of meanings, word origins, synonyms, translations

Wikiquote: Sixty - Quotes