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.
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
- Binary
- 11010010000
- Octal
- 3220
- Hexadecimal
- 690
- Roman numeral
- MDCLXXX
- Scientific notation
- 1.680 × 10^3
Other mathematical patterns
- Abundant number
- Highly composite number
- Harshad (Niven) number
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: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026