# 1768

## 1,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 1768 look like?

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

1768 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 1768:

### 23 × 13 × 17

(2 × 2 × 2 × 13 × 17)

See below for interesting mathematical facts about the number 1768 from the Numbermatics database.

### Names of 1768

• Cardinal: 1768 can be written as One thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.768 × 103

### Factors of 1768

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

### Divisors of 1768

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3780
• Sum of proper divisors (its aliquot sum) s(n): 2012
• 1768 is an abundant number, because the sum of its proper divisors (2012) is greater than itself. Its abundance is 244

### Bases of 1768

• Binary: 110111010002
• Base-36: 1D4

### Squares and roots of 1768

• 1768 squared (17682) is 3125824
• 1768 cubed (17683) is 5526456832
• The square root of 1768 is 42.0475920833
• The cube root of 1768 is 12.0918871921

### Scales and comparisons

How big is 1768?
• 1,768 seconds is equal to 29 minutes, 28 seconds.
• To count from 1 to 1,768 would take you about twenty-nine 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 1768 cubic inches would be around 1 feet tall.

### Recreational maths with 1768

• 1768 backwards is 8671
• The number of decimal digits it has is: 4
• The sum of 1768's digits is 22
• More coming soon!