# 13830

## 13,830 is an even composite number composed of four prime numbers multiplied together.

What does the number 13830 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

13830 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 13830:

### 2 × 3 × 5 × 461

See below for interesting mathematical facts about the number 13830 from the Numbermatics database.

### Names of 13830

• Cardinal: 13830 can be written as Thirteen thousand, eight hundred thirty.

### Scientific notation

• Scientific notation: 1.383 × 104

### Factors of 13830

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 471

### Divisors of 13830

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 33264
• Sum of proper divisors (its aliquot sum) s(n): 19434
• 13830 is an abundant number, because the sum of its proper divisors (19434) is greater than itself. Its abundance is 5604

### Bases of 13830

• Binary: 110110000001102
• Base-36: AO6

### Squares and roots of 13830

• 13830 squared (138302) is 191268900
• 13830 cubed (138303) is 2645248887000
• The square root of 13830 is 117.6010204037
• The cube root of 13830 is 24.0034717199

### Scales and comparisons

How big is 13830?
• 13,830 seconds is equal to 3 hours, 50 minutes, 30 seconds.
• To count from 1 to 13,830 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 13830 cubic inches would be around 2 feet tall.

### Recreational maths with 13830

• 13830 backwards is 03831
• 13830 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13830's digits is 15
• More coming soon!