# 27984

## 27,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 27984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

27984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 27984:

### 24 × 3 × 11 × 53

(2 × 2 × 2 × 2 × 3 × 11 × 53)

See below for interesting mathematical facts about the number 27984 from the Numbermatics database.

### Names of 27984

• Cardinal: 27984 can be written as Twenty-seven thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 2.7984 × 104

### Factors of 27984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 69

### Divisors of 27984

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 80352
• Sum of proper divisors (its aliquot sum) s(n): 52368
• 27984 is an abundant number, because the sum of its proper divisors (52368) is greater than itself. Its abundance is 24384

### Bases of 27984

• Binary: 1101101010100002
• Base-36: LLC

### Squares and roots of 27984

• 27984 squared (279842) is 783104256
• 27984 cubed (279843) is 21914389499904
• The square root of 27984 is 167.2841893305
• The cube root of 27984 is 30.3601046377

### Scales and comparisons

How big is 27984?
• 27,984 seconds is equal to 7 hours, 46 minutes, 24 seconds.
• To count from 1 to 27,984 would take you about seven 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 27984 cubic inches would be around 2.5 feet tall.

### Recreational maths with 27984

• 27984 backwards is 48972
• The number of decimal digits it has is: 5
• The sum of 27984's digits is 30
• More coming soon!

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The information we have on file for 27984 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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