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:
1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264
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
Hexadecimal: 0x2C00
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!

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The information we have on file for 11264 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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