10400
Number 10400: Properties, Factors, and Mathematical Facts
Short answer
The number 10400 is an even composite number with 36 positive divisors. Its prime factorization is 2⁵ × 5² × 13. It is also an abundant number, which gives it several notable mathematical relationships.
Is 10400 prime?
ClassificationCompositeParityEvenDivisor count36AbundanceAbundant
What is the prime factorization of 10400?
Prime factorization
2 to the power of 5 times 5 squared times 13
What are the divisors of 10400?
Divisor count
36
Divisor sum
27,342
Proper divisor sum
16,942
- 1
- 2
- 4
- 5
- 8
- 10
- 13
- 16
- 20
- 25
- 26
- 32
- 40
- 50
- 52
- 65
- 80
- 100
- 104
- 130
- 160
- 200
- 208
- 260
How is 10400 classified?
How is 10400 represented in other numeral systems?
Decimal
10400
Binary
10100010100000
Octal
24240
Hexadecimal
28A0
Roman
No conventional Roman numeral
In words
ten thousand four hundred
Roots and powers
Square root
101.980390 Approximate
Cube root
21.827858 Approximate
Nearest lower square
10201
Nearest higher square
10404
Nearest lower cube
9261
Nearest higher cube
10648
What are the digit properties of 10400?
Which numbers are related to 10400?
Why these results are true
- 10400 is composite because it has positive divisors other than 1 and itself.
- 10400 is abundant because the sum of its proper divisors (16942) is greater than 10400.
Compare this number
FAQ for 10400
- Is 10400 prime?
- No
- What is the prime factorization of 10400?
- 2⁵ × 5² × 13
- Is 10400 a perfect square?
- No
- What is 10400 in binary?
- 10100010100000