1680
1,680 is a highly composite number with 40 divisors.
- Even
- Composite
Where 1680 fits
Why 1680 is special
It is divisible by every number from 1 to 8, and by 10, 12, 14, 15, 16, 20 and many more. Ancient measurement systems favoured numbers of this shape for exactly this reason.
1680 is part of
Factors & digit properties
- Divisors (40)
- 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680
- Prime factorisation
- 2^4 × 3 × 5 × 7
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 1680
- Scientific notation
- 1.680 × 10^3
Roman numerals
M D C L X X X
Binary
1 1 0 1 0 0 1 0 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,680
Octal
3 2 2 0
3 × 512 + 2 × 64 + 2 × 8 + 0 × 1 = 1,680
Hexadecimal
6 9 0
6 × 256 + 9 × 16 + 0 × 1 = 1,680
Read as powers of two: 1,024 + 512 + 128 + 16 = 1,680.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 8 hobbles
1 × 1,000 + 6 × 100 + 8 × 10 = 1,680. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 8 vertical wedges (sixties place), empty units place
28 × 60 + 0 = 1680. 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
- Highly composite number
- Harshad (Niven) number
Related numbers & connections
1680 is a year in the 17th century, in the 1680s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Science
In 1680, the dodo is generally reckoned extinct around this date, within a century of first contact (Mauritius).
DocumentedScienceGeography: MauritiusPeriod: 1680
Mathematics
No smaller number has as many divisors as 1,680, which is why systems designed for division by hand — old currencies, degrees of a circle, hours and minutes — repeatedly settled on numbers of this shape rather than on powers of ten.
DocumentedMathematics
Common questions
Is 1680 a prime number?
No, 1680 is not prime.
What are the factors of 1680?
The factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.
What is 1680 in Roman numerals?
1680 in Roman numerals is MDCLXXX.
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