# 11264

## 11,264 is an even composite number composed of two prime numbers multiplied together.

What does the number 11264 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 22 divisors.

11264 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-two divisors.

## Prime factorization of 11264:

### 210 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11)

See below for interesting mathematical facts about the number 11264 from the Numbermatics database.

### Names of 11264

• Cardinal: 11264 can be written as Eleven thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 1.1264 × 104

### Factors of 11264

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 13

### Divisors of 11264

• Number of divisors d(n): 22
• Complete list of divisors:
• Sum of all divisors σ(n): 24564
• Sum of proper divisors (its aliquot sum) s(n): 13300
• 11264 is an abundant number, because the sum of its proper divisors (13300) is greater than itself. Its abundance is 2036

### Bases of 11264

• Binary: 101100000000002
• Base-36: 8OW

### Squares and roots of 11264

• 11264 squared (112642) is 126877696
• 11264 cubed (112643) is 1429150367744
• The square root of 11264 is 106.1319932913
• The cube root of 11264 is 22.4163146453

### Scales and comparisons

How big is 11264?
• 11,264 seconds is equal to 3 hours, 7 minutes, 44 seconds.
• To count from 1 to 11,264 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 11264 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11264

• 11264 backwards is 46211
• The number of decimal digits it has is: 5
• The sum of 11264's digits is 14
• More coming soon!