# 10872

## 10,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 10872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

10872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 10872:

### 23 × 32 × 151

(2 × 2 × 2 × 3 × 3 × 151)

See below for interesting mathematical facts about the number 10872 from the Numbermatics database.

### Names of 10872

• Cardinal: 10872 can be written as Ten thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 1.0872 × 104

### Factors of 10872

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 156

### Divisors of 10872

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 29640
• Sum of proper divisors (its aliquot sum) s(n): 18768
• 10872 is an abundant number, because the sum of its proper divisors (18768) is greater than itself. Its abundance is 7896

### Bases of 10872

• Binary: 101010011110002
• Base-36: 8E0

### Squares and roots of 10872

• 10872 squared (108722) is 118200384
• 10872 cubed (108723) is 1285074574848
• The square root of 10872 is 104.2688831819
• The cube root of 10872 is 22.1532006579

### Scales and comparisons

How big is 10872?
• 10,872 seconds is equal to 3 hours, 1 minute, 12 seconds.
• To count from 1 to 10,872 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 10872 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10872

• 10872 backwards is 27801
• 10872 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10872's digits is 18
• More coming soon!