# 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
• 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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