# 10024

## 10,024 is an even composite number composed of three prime numbers multiplied together.

What does the number 10024 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

10024 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 10024:

### 23 × 7 × 179

(2 × 2 × 2 × 7 × 179)

See below for interesting mathematical facts about the number 10024 from the Numbermatics database.

### Names of 10024

• Cardinal: 10024 can be written as Ten thousand and twenty-four.

### Scientific notation

• Scientific notation: 1.0024 × 104

### Factors of 10024

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 188

### Divisors of 10024

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 21600
• Sum of proper divisors (its aliquot sum) s(n): 11576
• 10024 is an abundant number, because the sum of its proper divisors (11576) is greater than itself. Its abundance is 1552

### Bases of 10024

• Binary: 100111001010002
• Base-36: 7QG

### Squares and roots of 10024

• 10024 squared (100242) is 100480576
• 10024 cubed (100243) is 1007217293824
• The square root of 10024 is 100.1199280863
• The cube root of 10024 is 21.5615686079

### Scales and comparisons

How big is 10024?
• 10,024 seconds is equal to 2 hours, 47 minutes, 4 seconds.
• To count from 1 to 10,024 would take you about two 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 10024 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10024

• 10024 backwards is 42001
• 10024 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10024's digits is 7
• More coming soon!