# 1968

## 1,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 1968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 1968:

### 24 × 3 × 41

(2 × 2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 1968 from the Numbermatics database.

### Names of 1968

• Cardinal: 1968 can be written as One thousand, nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.968 × 103

### Factors of 1968

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 46

### Divisors of 1968

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 5208
• Sum of proper divisors (its aliquot sum) s(n): 3240
• 1968 is an abundant number, because the sum of its proper divisors (3240) is greater than itself. Its abundance is 1272

### Bases of 1968

• Binary: 111101100002
• Base-36: 1IO

### Squares and roots of 1968

• 1968 squared (19682) is 3873024
• 1968 cubed (19683) is 7622111232
• The square root of 1968 is 44.3621460257
• The cube root of 1968 is 12.5316531121

### Scales and comparisons

How big is 1968?
• 1,968 seconds is equal to 32 minutes, 48 seconds.
• To count from 1 to 1,968 would take you about thirty-two 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 1968 cubic inches would be around 1 feet tall.

### Recreational maths with 1968

• 1968 backwards is 8691
• 1968 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1968's digits is 24
• More coming soon!