# 2068

## 2,068 is an even composite number composed of three prime numbers multiplied together.

What does the number 2068 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2068 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2068:

### 22 × 11 × 47

(2 × 2 × 11 × 47)

See below for interesting mathematical facts about the number 2068 from the Numbermatics database.

### Names of 2068

• Cardinal: 2068 can be written as Two thousand and sixty-eight.

### Scientific notation

• Scientific notation: 2.068 × 103

### Factors of 2068

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 60

### Divisors of 2068

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4032
• Sum of proper divisors (its aliquot sum) s(n): 1964
• 2068 is a deficient number, because the sum of its proper divisors (1964) is less than itself. Its deficiency is 104

### Bases of 2068

• Binary: 1000000101002
• Base-36: 1LG

### Squares and roots of 2068

• 2068 squared (20682) is 4276624
• 2068 cubed (20683) is 8844058432
• The square root of 2068 is 45.4752680037
• The cube root of 2068 is 12.7404131445

### Scales and comparisons

How big is 2068?
• 2,068 seconds is equal to 34 minutes, 28 seconds.
• To count from 1 to 2,068 would take you about thirty-four minutes.

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 2068 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2068

• 2068 backwards is 8602
• The number of decimal digits it has is: 4
• The sum of 2068's digits is 16
• More coming soon!