# 1166

## 1,166 is an even composite number composed of three prime numbers multiplied together.

What does the number 1166 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1166 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1166:

### 2 × 11 × 53

See below for interesting mathematical facts about the number 1166 from the Numbermatics database.

### Names of 1166

• Cardinal: 1166 can be written as One thousand, one hundred sixty-six.

### Scientific notation

• Scientific notation: 1.166 × 103

### Factors of 1166

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 66

### Divisors of 1166

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1944
• Sum of proper divisors (its aliquot sum) s(n): 778
• 1166 is a deficient number, because the sum of its proper divisors (778) is less than itself. Its deficiency is 388

### Bases of 1166

• Binary: 100100011102
• Base-36: WE

### Squares and roots of 1166

• 1166 squared (11662) is 1359556
• 1166 cubed (11663) is 1585242296
• The square root of 1166 is 34.1467421581
• The cube root of 1166 is 10.5252604205

### Scales and comparisons

How big is 1166?
• 1,166 seconds is equal to 19 minutes, 26 seconds.
• To count from 1 to 1,166 would take you about nineteen 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 1166 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1166

• 1166 backwards is 6611
• The number of decimal digits it has is: 4
• The sum of 1166's digits is 14
• More coming soon!