64000

64,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 64000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 40 divisors.

64000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 64000:

2⁹ × 5³

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 64000 from the Numbermatics database.

Names of 64000

Cardinal: 64000 can be written as Sixty-four thousand.

Scientific notation

Scientific notation: 6.4 × 10⁴

Factors of 64000

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 12
Sum of prime factors: 7

Divisors of 64000

Number of divisors d(n): 40
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000
Sum of all divisors σ(n): 159588
Sum of proper divisors (its aliquot sum) s(n): 95588
64000 is an abundant number, because the sum of its proper divisors (95588) is greater than itself. Its abundance is 31588

Bases of 64000

Binary: 1111101000000000₂
Hexadecimal: 0xFA00
Base-36: 1DDS

Squares and roots of 64000

64000 squared (64000²) is 4096000000
64000 cubed (64000³) is 262144000000000
The square root of 64000 is 252.9822128135
64000 is a perfect cube number. Its cube root is 40

Scales and comparisons

How big is 64000?

64,000 seconds is equal to 17 hours, 46 minutes, 40 seconds.
To count from 1 to 64,000 would take you about seventeen hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 64000 cubic inches would be around 3.3 feet tall.

Recreational maths with 64000

64000 backwards is 00046
64000 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 64000's digits is 10
More coming soon!

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The information we have on file for 64000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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