67680

67,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 67680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

67680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 67680:

2⁵ × 3² × 5 × 47

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 47)

See below for interesting mathematical facts about the number 67680 from the Numbermatics database.

Names of 67680

Cardinal: 67680 can be written as Sixty-seven thousand, six hundred eighty.

Scientific notation

Scientific notation: 6.768 × 10⁴

Factors of 67680

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 57

Divisors of 67680

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 11280 13536 16920 22560 33840 67680
Sum of all divisors σ(n): 235872
Sum of proper divisors (its aliquot sum) s(n): 168192
67680 is an abundant number, because the sum of its proper divisors (168192) is greater than itself. Its abundance is 100512

Bases of 67680

Binary: 10000100001100000₂
Hexadecimal: 0x10860
Base-36: 1G80

Squares and roots of 67680

67680 squared (67680²) is 4580582400
67680 cubed (67680³) is 310013816832000
The square root of 67680 is 260.1538006641
The cube root of 67680 is 40.7524243605

Scales and comparisons

How big is 67680?

67,680 seconds is equal to 18 hours, 48 minutes.
To count from 1 to 67,680 would take you about eighteen hours.

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 67680 cubic inches would be around 3.4 feet tall.

Recreational maths with 67680

67680 backwards is 08676
The number of decimal digits it has is: 5
The sum of 67680's digits is 27
More coming soon!

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The information we have on file for 67680 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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