4680

4,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 4680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

4680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 4680:

2³ × 3² × 5 × 13

(2 × 2 × 2 × 3 × 3 × 5 × 13)

See below for interesting mathematical facts about the number 4680 from the Numbermatics database.

Names of 4680

Cardinal: 4680 can be written as Four thousand, six hundred eighty.

Scientific notation

Scientific notation: 4.68 × 10³

Factors of 4680

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 23

Divisors of 4680

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680
Sum of all divisors σ(n): 16380
Sum of proper divisors (its aliquot sum) s(n): 11700
4680 is an abundant number, because the sum of its proper divisors (11700) is greater than itself. Its abundance is 7020

Bases of 4680

Binary: 1001001001000₂
Hexadecimal: 0x1248
Base-36: 3M0

Squares and roots of 4680

4680 squared (4680²) is 21902400
4680 cubed (4680³) is 102503232000
The square root of 4680 is 68.4105255059
The cube root of 4680 is 16.7268932147

Scales and comparisons

How big is 4680?

4,680 seconds is equal to 1 hour, 18 minutes.
To count from 1 to 4,680 would take you about eighteen 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 4680 cubic inches would be around 1.4 feet tall.

Recreational maths with 4680

4680 backwards is 0864
4680 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 4680's digits is 18
More coming soon!

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The information we have on file for 4680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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