# 168000

## 168,000 is an even composite number composed of four prime numbers multiplied together.

What does the number 168000 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 112 divisors.

168000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.

## Prime factorization of 168000:

### 26 × 3 × 53 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 168000 from the Numbermatics database.

### Names of 168000

• Cardinal: 168000 can be written as One hundred sixty-eight thousand.

### Scientific notation

• Scientific notation: 1.68 × 105

### Factors of 168000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 17

### Divisors of 168000

• Number of divisors d(n): 112
• Complete list of divisors:
• Sum of all divisors σ(n): 633984
• Sum of proper divisors (its aliquot sum) s(n): 465984
• 168000 is an abundant number, because the sum of its proper divisors (465984) is greater than itself. Its abundance is 297984

### Bases of 168000

• Binary: 1010010000010000002
• Base-36: 3LMO

### Squares and roots of 168000

• 168000 squared (1680002) is 28224000000
• 168000 cubed (1680003) is 4741632000000000
• The square root of 168000 is 409.8780306383
• The cube root of 168000 is 55.1784835277

### Scales and comparisons

How big is 168000?
• 168,000 seconds is equal to 1 day, 22 hours, 40 minutes.
• To count from 1 to 168,000 would take you about twenty-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 168000 cubic inches would be around 4.6 feet tall.

### Recreational maths with 168000

• 168000 backwards is 000861
• 168000 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 168000's digits is 15
• More coming soon!