840
Number 840: Properties, Factors, and Mathematical Facts
Short answer
The number 840 is an even composite number with 32 positive divisors. Its prime factorization is 2³ × 3 × 5 × 7. It is also an abundant number, which gives it several notable mathematical relationships.
Is 840 prime?
ClassificationCompositeParityEvenDivisor count32AbundanceAbundant
What is the prime factorization of 840?
Prime factorization
2 cubed times 3 times 5 times 7
What are the divisors of 840?
Divisor count
32
Divisor sum
2,880
Proper divisor sum
2,040
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 10
- 12
- 14
- 15
- 20
- 21
- 24
- 28
- 30
- 35
- 40
- 42
- 56
- 60
- 70
- 84
How is 840 classified?
How is 840 represented in other numeral systems?
Decimal
840
Binary
1101001000
Octal
1510
Hexadecimal
348
Roman
DCCCXLLearn more →
In words
eight hundred forty
Roots and powers
Square root
28.982753 Approximate
Cube root
9.435388 Approximate
Nearest lower square
784
Nearest higher square
841
Nearest lower cube
729
Nearest higher cube
1000
What are the digit properties of 840?
Which numbers are related to 840?
Why these results are true
- 840 is composite because it has positive divisors other than 1 and itself.
- 840 is abundant because the sum of its proper divisors (2040) is greater than 840.
Compare this number
FAQ for 840
- Is 840 prime?
- No
- What is the prime factorization of 840?
- 2³ × 3 × 5 × 7
- Is 840 a perfect square?
- No
- What is 840 in binary?
- 1101001000
- What is 840 in Roman numerals?
- DCCCXL