# 11000

## 11,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 11000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

11000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 11000:

### 23 × 53 × 11

(2 × 2 × 2 × 5 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 11000 from the Numbermatics database.

### Names of 11000

• Cardinal: 11000 can be written as Eleven thousand.

### Scientific notation

• Scientific notation: 1.1 × 104

### Factors of 11000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 18

### Divisors of 11000

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 28080
• Sum of proper divisors (its aliquot sum) s(n): 17080
• 11000 is an abundant number, because the sum of its proper divisors (17080) is greater than itself. Its abundance is 6080

### Bases of 11000

• Binary: 101010111110002
• Base-36: 8HK

### Squares and roots of 11000

• 11000 squared (110002) is 121000000
• 11000 cubed (110003) is 1331000000000
• The square root of 11000 is 104.8808848171
• The cube root of 11000 is 22.2398009055

### Scales and comparisons

How big is 11000?
• 11,000 seconds is equal to 3 hours, 3 minutes, 20 seconds.
• To count from 1 to 11,000 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 11000 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11000

• 11000 backwards is 00011
• 11000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11000's digits is 2
• More coming soon!

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"Number 11000 - Facts about the integer". Numbermatics.com. 2021. Web. 21 October 2021.

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Numbermatics. (2021). Number 11000 - Facts about the integer. Retrieved 21 October 2021, from https://numbermatics.com/n/11000/

Chicago style:
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The information we have on file for 11000 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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