# 1005840

## 1,005,840 is an even composite number composed of five prime numbers multiplied together.

What does the number 1005840 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.

1005840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.

## Prime factorization of 1005840:

### 24 × 32 × 5 × 11 × 127

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 127)

See below for interesting mathematical facts about the number 1005840 from the Numbermatics database.

### Names of 1005840

• Cardinal: 1005840 can be written as One million, five thousand, eight hundred forty.

### Scientific notation

• Scientific notation: 1.00584 × 106

### Factors of 1005840

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 148

### Divisors of 1005840

• Number of divisors d(n): 120
• Complete list of divisors:
• Sum of all divisors σ(n): 3714048
• Sum of proper divisors (its aliquot sum) s(n): 2708208
• 1005840 is an abundant number, because the sum of its proper divisors (2708208) is greater than itself. Its abundance is 1702368

### Bases of 1005840

• Binary: 111101011001000100002
• Base-36: LK40

### Squares and roots of 1005840

• 1005840 squared (10058402) is 1011714105600
• 1005840 cubed (10058403) is 1017622515976704000
• The square root of 1005840 is 1002.9157492031
• The cube root of 1005840 is 100.1942889403

### Scales and comparisons

How big is 1005840?
• 1,005,840 seconds is equal to 1 week, 4 days, 15 hours, 24 minutes.
• To count from 1 to 1,005,840 would take you about two weeks!

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 1005840 cubic inches would be around 8.3 feet tall.

### Recreational maths with 1005840

• 1005840 backwards is 0485001
• 1005840 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 1005840's digits is 18
• More coming soon!