64320

64,320 is an even composite number composed of four prime numbers multiplied together.

What does the number 64320 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

64320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 64320:

2⁶ × 3 × 5 × 67

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 67)

See below for interesting mathematical facts about the number 64320 from the Numbermatics database.

Names of 64320

Cardinal: 64320 can be written as Sixty-four thousand, three hundred twenty.

Scientific notation

Scientific notation: 6.432 × 10⁴

Factors of 64320

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 77

Divisors of 64320

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320
Sum of all divisors σ(n): 207264
Sum of proper divisors (its aliquot sum) s(n): 142944
64320 is an abundant number, because the sum of its proper divisors (142944) is greater than itself. Its abundance is 78624

Bases of 64320

Binary: 1111101101000000₂
Hexadecimal: 0xFB40
Base-36: 1DMO

Squares and roots of 64320

64320 squared (64320²) is 4137062400
64320 cubed (64320³) is 266095853568000
The square root of 64320 is 253.6138797463
The cube root of 64320 is 40.0665558631

Scales and comparisons

How big is 64320?

64,320 seconds is equal to 17 hours, 52 minutes.
To count from 1 to 64,320 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 64320 cubic inches would be around 3.3 feet tall.

Recreational maths with 64320

64320 backwards is 02346
64320 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 64320's digits is 15
More coming soon!

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The information we have on file for 64320 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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