# 1164

## 1,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 1164 look like?

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

1164 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 1164:

### 22 × 3 × 97

(2 × 2 × 3 × 97)

See below for interesting mathematical facts about the number 1164 from the Numbermatics database.

### Names of 1164

• Cardinal: 1164 can be written as One thousand, one hundred sixty-four.

### Scientific notation

• Scientific notation: 1.164 × 103

### Factors of 1164

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 102

### Divisors of 1164

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2744
• Sum of proper divisors (its aliquot sum) s(n): 1580
• 1164 is an abundant number, because the sum of its proper divisors (1580) is greater than itself. Its abundance is 416

### Bases of 1164

• Binary: 100100011002
• Base-36: WC

### Squares and roots of 1164

• 1164 squared (11642) is 1354896
• 1164 cubed (11643) is 1577098944
• The square root of 1164 is 34.1174442185
• The cube root of 1164 is 10.5192391031

### Scales and comparisons

How big is 1164?
• 1,164 seconds is equal to 19 minutes, 24 seconds.
• To count from 1 to 1,164 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 1164 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1164

• 1164 backwards is 4611
• 1164 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1164's digits is 12
• More coming soon!