# 1288

## 1,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 1288 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

1288 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1288:

### 23 × 7 × 23

(2 × 2 × 2 × 7 × 23)

See below for interesting mathematical facts about the number 1288 from the Numbermatics database.

### Names of 1288

• Cardinal: 1288 can be written as One thousand, two hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.288 × 103

### Factors of 1288

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 32

### Divisors of 1288

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 2880
• Sum of proper divisors (its aliquot sum) s(n): 1592
• 1288 is an abundant number, because the sum of its proper divisors (1592) is greater than itself. Its abundance is 304

### Bases of 1288

• Binary: 101000010002
• Base-36: ZS

### Squares and roots of 1288

• 1288 squared (12882) is 1658944
• 1288 cubed (12883) is 2136719872
• The square root of 1288 is 35.8887168899
• The cube root of 1288 is 10.8802436509

### Scales and comparisons

How big is 1288?
• 1,288 seconds is equal to 21 minutes, 28 seconds.
• To count from 1 to 1,288 would take you about twenty-one 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 1288 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1288

• 1288 backwards is 8821
• The number of decimal digits it has is: 4
• The sum of 1288's digits is 19
• More coming soon!