# 10824

## 10,824 is an even composite number composed of four prime numbers multiplied together.

What does the number 10824 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

10824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 10824:

### 23 × 3 × 11 × 41

(2 × 2 × 2 × 3 × 11 × 41)

See below for interesting mathematical facts about the number 10824 from the Numbermatics database.

### Names of 10824

• Cardinal: 10824 can be written as Ten thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 1.0824 × 104

### Factors of 10824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 57

### Divisors of 10824

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 30240
• Sum of proper divisors (its aliquot sum) s(n): 19416
• 10824 is an abundant number, because the sum of its proper divisors (19416) is greater than itself. Its abundance is 8592

### Bases of 10824

• Binary: 101010010010002
• Base-36: 8CO

### Squares and roots of 10824

• 10824 squared (108242) is 117158976
• 10824 cubed (108243) is 1268128756224
• The square root of 10824 is 104.0384544291
• The cube root of 10824 is 22.1205503517

### Scales and comparisons

How big is 10824?
• 10,824 seconds is equal to 3 hours, 24 seconds.
• To count from 1 to 10,824 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 10824 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10824

• 10824 backwards is 42801
• The number of decimal digits it has is: 5
• The sum of 10824's digits is 15
• More coming soon!