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1064

Number 1064: Properties, Factors, and Mathematical Facts

Short answer

The number 1064 is an even composite number with 16 positive divisors. Its prime factorization is 2³ × 7 × 19. It is also an abundant number, which gives it several notable mathematical relationships.

Is 1064 prime?

ClassificationCompositeParityEvenDivisor count16AbundanceAbundant

What is the prime factorization of 1064?

Prime factorization

1064 =
2 cubed times 7 times 19
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What are the divisors of 1064?

Divisor count

16

Divisor sum

2,400

Proper divisor sum

1,336
  • 1
  • 2
  • 4
  • 7
  • 8
  • 14
  • 19
  • 28
  • 38
  • 56
  • 76
  • 133
  • 152
  • 266
  • 532
  • 1064

How is 1064 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 1064 represented in other numeral systems?

Decimal

1064

Binary

10000101000
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Octal

2050

Hexadecimal

Roman

In words

one thousand sixty four

Roots and powers

Square root

32.619013 Approximate

Cube root

10.208937 Approximate

Nearest lower square

1024

Nearest higher square

1089

Nearest lower cube

1000

Nearest higher cube

1331

What are the digit properties of 1064?

Digit count

4

Digit sum

Digit product

0

Digital root

2

Reversed number

4601

Why these results are true

  • 1064 is composite because it has positive divisors other than 1 and itself.
  • 1064 is abundant because the sum of its proper divisors (1336) is greater than 1064.

Compare this number

FAQ for 1064

Is 1064 prime?
No
What is the prime factorization of 1064?
2³ × 7 × 19
Is 1064 a perfect square?
No
What is 1064 in binary?
10000101000
What is 1064 in Roman numerals?
MLXIV

Read calculation methodology