# 9840

## 9,840 is an even composite number composed of four prime numbers multiplied together.

What does the number 9840 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

9840 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 9840:

### 24 × 3 × 5 × 41

(2 × 2 × 2 × 2 × 3 × 5 × 41)

See below for interesting mathematical facts about the number 9840 from the Numbermatics database.

### Names of 9840

• Cardinal: 9840 can be written as Nine thousand, eight hundred forty.

### Scientific notation

• Scientific notation: 9.84 × 103

### Factors of 9840

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 51

### Divisors of 9840

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 31248
• Sum of proper divisors (its aliquot sum) s(n): 21408
• 9840 is an abundant number, because the sum of its proper divisors (21408) is greater than itself. Its abundance is 11568

### Bases of 9840

• Binary: 100110011100002
• Base-36: 7LC

### Squares and roots of 9840

• 9840 squared (98402) is 96825600
• 9840 cubed (98403) is 952763904000
• The square root of 9840 is 99.1967741411
• The cube root of 9840 is 21.4288253939

### Scales and comparisons

How big is 9840?
• 9,840 seconds is equal to 2 hours, 44 minutes.
• To count from 1 to 9,840 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 9840 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9840

• 9840 backwards is 0489
• The number of decimal digits it has is: 4
• The sum of 9840's digits is 21
• More coming soon!