# 11664

## 11,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 11664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 35 divisors.

11664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-five divisors.

## Prime factorization of 11664:

### 24 × 36

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 11664 from the Numbermatics database.

### Names of 11664

• Cardinal: 11664 can be written as Eleven thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 1.1664 × 104

### Factors of 11664

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5

### Divisors of 11664

• Number of divisors d(n): 35
• Complete list of divisors:
• Sum of all divisors σ(n): 33883
• Sum of proper divisors (its aliquot sum) s(n): 22219
• 11664 is an abundant number, because the sum of its proper divisors (22219) is greater than itself. Its abundance is 10555

### Bases of 11664

• Binary: 101101100100002
• Hexadecimal: 0x2D90
• Base-36: 900

### Squares and roots of 11664

• 11664 squared (116642) is 136048896
• 11664 cubed (116643) is 1586874322944
• 11664 is a perfect square number. Its square root is 108
• The cube root of 11664 is 22.6785788979
• Being both a perfect square and a perfect cube, 11664 is also a perfect sixth number.

### Scales and comparisons

How big is 11664?
• 11,664 seconds is equal to 3 hours, 14 minutes, 24 seconds.
• To count from 1 to 11,664 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 11664 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11664

• 11664 backwards is 46611
• 11664 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11664's digits is 18
• More coming soon!

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The information we have on file for 11664 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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