39840
Number 39840: Properties, Factors, and Mathematical Facts
Short answer
The number 39840 is an even composite number with 48 positive divisors. Its prime factorization is 2⁵ × 3 × 5 × 83. It is also an abundant number, which gives it several notable mathematical relationships.
Is 39840 prime?
ClassificationCompositeParityEvenDivisor count48AbundanceAbundant
What is the prime factorization of 39840?
Prime factorization
2 to the power of 5 times 3 times 5 times 83
What are the divisors of 39840?
Divisor count
48
Divisor sum
127,008
Proper divisor sum
87,168
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 10
- 12
- 15
- 16
- 20
- 24
- 30
- 32
- 40
- 48
- 60
- 80
- 83
- 96
- 120
- 160
- 166
How is 39840 classified?
How is 39840 represented in other numeral systems?
Decimal
39840
Binary
1001101110100000
Octal
115640
Hexadecimal
9BA0
Roman
No conventional Roman numeral
In words
thirty nine thousand eight hundred forty
Roots and powers
Square root
199.599599 Approximate
Cube root
34.153859 Approximate
Nearest lower square
39601
Nearest higher square
40000
Nearest lower cube
39304
Nearest higher cube
42875
What are the digit properties of 39840?
Which numbers are related to 39840?
Why these results are true
- 39840 is composite because it has positive divisors other than 1 and itself.
- 39840 is abundant because the sum of its proper divisors (87168) is greater than 39840.
Compare this number
FAQ for 39840
- Is 39840 prime?
- No
- What is the prime factorization of 39840?
- 2⁵ × 3 × 5 × 83
- Is 39840 a perfect square?
- No
- What is 39840 in binary?
- 1001101110100000