# 23040

## 23,040 is an even composite number composed of three prime numbers multiplied together.

What does the number 23040 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

23040 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 23040:

### 29 × 32 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 23040 from the Numbermatics database.

### Names of 23040

• Cardinal: 23040 can be written as Twenty-three thousand and forty.

### Scientific notation

• Scientific notation: 2.304 × 104

### Factors of 23040

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10

### Divisors of 23040

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 79794
• Sum of proper divisors (its aliquot sum) s(n): 56754
• 23040 is an abundant number, because the sum of its proper divisors (56754) is greater than itself. Its abundance is 33714

### Bases of 23040

• Binary: 1011010000000002
• Base-36: HS0

### Squares and roots of 23040

• 23040 squared (230402) is 530841600
• 23040 cubed (230403) is 12230590464000
• The square root of 23040 is 151.7893276881
• The cube root of 23040 is 28.4551464361

### Scales and comparisons

How big is 23040?
• 23,040 seconds is equal to 6 hours, 24 minutes.
• To count from 1 to 23,040 would take you about six 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 23040 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23040

• 23040 backwards is 04032
• 23040 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 23040's digits is 9
• More coming soon!