# 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!