1200
Number 1200: Properties, Factors, and Mathematical Facts
Short answer
The number 1200 is an even composite number with 30 positive divisors. Its prime factorization is 2⁴ × 3 × 5². It is also an abundant number, which gives it several notable mathematical relationships.
Is 1200 prime?
ClassificationCompositeParityEvenDivisor count30AbundanceAbundant
What is the prime factorization of 1200?
Prime factorization
2 to the power of 4 times 3 times 5 squared
What are the divisors of 1200?
Divisor count
30
Divisor sum
3,844
Proper divisor sum
2,644
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 10
- 12
- 15
- 16
- 20
- 24
- 25
- 30
- 40
- 48
- 50
- 60
- 75
- 80
- 100
- 120
- 150
How is 1200 classified?
How is 1200 represented in other numeral systems?
Decimal
1200
Binary
10010110000
Octal
2260
Hexadecimal
4B0
Roman
MCCLearn more →
In words
one thousand two hundred
Roots and powers
Square root
34.641016 Approximate
Cube root
10.626586 Approximate
Nearest lower square
1156
Nearest higher square
1225
Nearest lower cube
1000
Nearest higher cube
1331
What are the digit properties of 1200?
Which numbers are related to 1200?
Why these results are true
- 1200 is composite because it has positive divisors other than 1 and itself.
- 1200 is abundant because the sum of its proper divisors (2644) is greater than 1200.
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FAQ for 1200
- Is 1200 prime?
- No
- What is the prime factorization of 1200?
- 2⁴ × 3 × 5²
- Is 1200 a perfect square?
- No
- What is 1200 in binary?
- 10010110000
- What is 1200 in Roman numerals?
- MCC