# 1148

## 1,148 is an even composite number composed of three prime numbers multiplied together.

What does the number 1148 look like?

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

1148 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 1148:

### 22 × 7 × 41

(2 × 2 × 7 × 41)

See below for interesting mathematical facts about the number 1148 from the Numbermatics database.

### Names of 1148

• Cardinal: 1148 can be written as One thousand, one hundred forty-eight.

### Scientific notation

• Scientific notation: 1.148 × 103

### Factors of 1148

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 50

### Divisors of 1148

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2352
• Sum of proper divisors (its aliquot sum) s(n): 1204
• 1148 is an abundant number, because the sum of its proper divisors (1204) is greater than itself. Its abundance is 56

### Bases of 1148

• Binary: 100011111002
• Base-36: VW

### Squares and roots of 1148

• 1148 squared (11482) is 1317904
• 1148 cubed (11483) is 1512953792
• The square root of 1148 is 33.8821486921
• The cube root of 1148 is 10.4708184447

### Scales and comparisons

How big is 1148?
• 1,148 seconds is equal to 19 minutes, 8 seconds.
• To count from 1 to 1,148 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 1148 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1148

• 1148 backwards is 8411
• 1148 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1148's digits is 14
• More coming soon!