# 12864

## 12,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 12864 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

12864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 12864:

### 26 × 3 × 67

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 67)

See below for interesting mathematical facts about the number 12864 from the Numbermatics database.

### Names of 12864

• Cardinal: 12864 can be written as Twelve thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 1.2864 × 104

### Factors of 12864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 72

### Divisors of 12864

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 34544
• Sum of proper divisors (its aliquot sum) s(n): 21680
• 12864 is an abundant number, because the sum of its proper divisors (21680) is greater than itself. Its abundance is 8816

### Bases of 12864

• Binary: 110010010000002
• Hexadecimal: 0x3240
• Base-36: 9XC

### Squares and roots of 12864

• 12864 squared (128642) is 165482496
• 12864 cubed (128643) is 2128766828544
• The square root of 12864 is 113.4195750299
• The cube root of 12864 is 23.4310640107

### Scales and comparisons

How big is 12864?
• 12,864 seconds is equal to 3 hours, 34 minutes, 24 seconds.
• To count from 1 to 12,864 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 12864 cubic inches would be around 2 feet tall.

### Recreational maths with 12864

• 12864 backwards is 46821
• The number of decimal digits it has is: 5
• The sum of 12864's digits is 21
• More coming soon!

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The information we have on file for 12864 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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