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1140

1140 is a year in the 12th century. The rebuilt choir of Saint-Denis combined the pointed arch, rib vault and flying buttress, and Gothic architecture dates from it (France).

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Where 1140 fits

Where 1140 fits: Mathematics, HistoryMathematics: Harshad (Niven) number. History: Historical years.MathematicsHarshad (Niven) numberHistoryHistorical years1140
1140 connects to 2 worlds: mathematics, history.

Why 1140 is special

1140 has a profile because of what happened in it rather than because of any property of the number: the rebuilt choir of Saint-Denis combined the pointed arch, rib vault and flying buttress, and Gothic architecture dates from it (France).

1140 is part of

Factors & digit properties

Divisors (24)
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
Prime factorisation
2^2 × 3 × 5 × 19
Digit sum
6
Digital root
6

Representations

Decimal
1140
Scientific notation
1.140 × 10^3

Roman numerals

M C X L

MCXL uses the subtractive pair XL: ten before fifty — fifty minus ten.

Binary

1 0 0 0 1 1 1 0 1 0 0

1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,140

Octal

2 1 6 4

2 × 512 + 1 × 64 + 6 × 8 + 4 × 1 = 1,140

Hexadecimal

4 7 4

4 × 256 + 7 × 16 + 4 × 1 = 1,140

Read as powers of two: 1,024 + 64 + 32 + 16 + 4 = 1,140.

In historical numeral systems

Egyptian

1 lotus, 1 coil of rope, 4 hobbles

1 × 1,000 + 1 × 100 + 4 × 10 = 1,140. 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), empty units place

19 × 60 + 0 = 1140. Places are separated by a space on the tablet, with the higher place written first. The second place is empty, and this is precisely the case the early system could not write unambiguously — the same wedges alone would also read as 1.

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
1140 is a year in the 12th century, in the 1140s.

1140 is a year in the 12th century, in the 1140s.

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

How is 1140 connected to another number? →

Technology & computing

  • In 1140, the rebuilt choir of Saint-Denis combined the pointed arch, rib vault and flying buttress, and Gothic architecture dates from it (France).

    DocumentedTechnology & computingGeography: FrancePeriod: 1140

Common questions

Is 1140 a prime number?

No, 1140 is not prime.

What are the factors of 1140?

The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.

What is 1140 in Roman numerals?

1140 in Roman numerals is MCXL. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MCXXXX, which Roman inscriptions used freely — the strict subtractive form is a later convention.

About this page's data

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

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 15 July 2026