# 12768

## 12,768 is an even composite number composed of four prime numbers multiplied together.

What does the number 12768 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

12768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 12768:

### 25 × 3 × 7 × 19

(2 × 2 × 2 × 2 × 2 × 3 × 7 × 19)

See below for interesting mathematical facts about the number 12768 from the Numbermatics database.

### Names of 12768

• Cardinal: 12768 can be written as Twelve thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.2768 × 104

### Factors of 12768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 31

### Divisors of 12768

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 40320
• Sum of proper divisors (its aliquot sum) s(n): 27552
• 12768 is an abundant number, because the sum of its proper divisors (27552) is greater than itself. Its abundance is 14784

### Bases of 12768

• Binary: 110001111000002
• Base-36: 9UO

### Squares and roots of 12768

• 12768 squared (127682) is 163021824
• 12768 cubed (127683) is 2081462648832
• The square root of 12768 is 112.9955751347
• The cube root of 12768 is 23.3726321871

### Scales and comparisons

How big is 12768?
• 12,768 seconds is equal to 3 hours, 32 minutes, 48 seconds.
• To count from 1 to 12,768 would take you about three 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 12768 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12768

• 12768 backwards is 86721
• 12768 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12768's digits is 24
• More coming soon!

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"Number 12768 - Facts about the integer". Numbermatics.com. 2021. Web. 1 December 2021.

APA style:
Numbermatics. (2021). Number 12768 - Facts about the integer. Retrieved 1 December 2021, from https://numbermatics.com/n/12768/

Chicago style:
Numbermatics. 2021. "Number 12768 - Facts about the integer". https://numbermatics.com/n/12768/

The information we have on file for 12768 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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