1664
Number 1664: Properties, Factors, and Mathematical Facts
Short answer
The number 1664 is an even composite number with 16 positive divisors. Its prime factorization is 2⁷ × 13. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1664 prime?
ClassificationCompositeParityEvenDivisor count16AbundanceAbundant
What is the prime factorization of 1664?
Prime factorization
2 to the power of 7 times 13
What are the divisors of 1664?
Divisor count
16
Divisor sum
3,570
Proper divisor sum
1,906
- 1
- 2
- 4
- 8
- 13
- 16
- 26
- 32
- 52
- 64
- 104
- 128
- 208
- 416
- 832
- 1664
How is 1664 classified?
How is 1664 represented in other numeral systems?
Decimal
1664
Binary
11010000000
Octal
3200
Hexadecimal
680
Roman
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In words
one thousand six hundred sixty four
Roots and powers
Square root
40.792156 Approximate
Cube root
11.849984 Approximate
Nearest lower square
1600
Nearest higher square
1681
Nearest lower cube
1331
Nearest higher cube
1728
What are the digit properties of 1664?
Which numbers are related to 1664?
Why these results are true
- 1664 is composite because it has positive divisors other than 1 and itself.
- 1664 is abundant because the sum of its proper divisors (1906) is greater than 1664.
Compare this number
FAQ for 1664
- Is 1664 prime?
- No
- What is the prime factorization of 1664?
- 2⁷ × 13
- Is 1664 a perfect square?
- No
- What is 1664 in binary?
- 11010000000
- What is 1664 in Roman numerals?
- MDCLXIV