Numberwise

1180

1180 is roughly when the windmill appeared in Europe.

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Where 1180 fits

Where 1180 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1050.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers10501180
1180 connects to 3 worlds: mathematics, history, related numbers.

Why 1180 is special

Unlike a watermill it could be built anywhere with wind, which freed milling from river sites and from the landowners who controlled them. The economics of grinding grain changed as much as the engineering.

Same number, different meanings

How 1180 is understood across different contexts — never implying one meaning because of another.

1180 is part of

Factors & digit properties

Divisors (12)
1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
Prime factorisation
2^2 × 5 × 59
Digit sum
10
Digital root
1

Representations

Decimal
1180
Scientific notation
1.180 × 10^3

Roman numerals

M C L X X X

Binary

1 0 0 1 0 0 1 1 1 0 0

1 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,180

Octal

2 2 3 4

2 × 512 + 2 × 64 + 3 × 8 + 4 × 1 = 1,180

Hexadecimal

4 9 c

4 × 256 + 9 × 16 + c × 1 = 1,180

Read as powers of two: 1,024 + 128 + 16 + 8 + 4 = 1,180.

In historical numeral systems

Egyptian

1 lotus, 1 coil of rope, 8 hobbles

1 × 1,000 + 1 × 100 + 8 × 10 = 1,180. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 corner wedge + 9 vertical wedges (sixties place), 4 corner wedges (units place)

19 × 60 + 40 = 1180. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1180 is a year in the 12th century, in the 1180s.

1180 is a year in the 12th century, in the 1180s.

Connection
The horse collar from around 1050 let horses plough and the windmill from around 1180 freed milling from rivers. Both raised medieval agricultural output by removing a physical constraint.

The horse collar from around 1050 let horses plough and the windmill from around 1180 freed milling from rivers. Both raised medieval agricultural output by removing a physical constraint.

View 1050

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1050
    why?

    Strength 0.50, confidence "high".

How is 1180 connected to another number? →

History

  • In 1180, the Genpei War began between the Taira and Minamoto clans (Japan).

    DocumentedHistoryGeography: JapanPeriod: 1180

Technology & computing

  • Watermills required a river and therefore a landowner's permission. Windmills could be built on any exposed ground, which broke a monopoly as much as it solved a technical problem.

    DocumentedTechnology & computingGeography: EuropePeriod: around 1180

Common questions

Is 1180 a prime number?

No, 1180 is not prime.

What are the factors of 1180?

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.

What is 1180 in Roman numerals?

1180 in Roman numerals is MCLXXX.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026