168768

168,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 168768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

168768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 168768:

2⁶ × 3² × 293

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 293)

See below for interesting mathematical facts about the number 168768 from the Numbermatics database.

Names of 168768

Cardinal: 168768 can be written as One hundred sixty-eight thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 1.68768 × 10⁵

Factors of 168768

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 298

Divisors of 168768

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 293 576 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 18752 21096 28128 42192 56256 84384 168768
Sum of all divisors σ(n): 485394
Sum of proper divisors (its aliquot sum) s(n): 316626
168768 is an abundant number, because the sum of its proper divisors (316626) is greater than itself. Its abundance is 147858

Bases of 168768

Binary: 101001001101000000₂
Hexadecimal: 0x29340
Base-36: 3M80

Squares and roots of 168768

168768 squared (168768²) is 28482637824
168768 cubed (168768³) is 4806957820280832
The square root of 168768 is 410.8138264469
The cube root of 168768 is 55.2624372265

Scales and comparisons

How big is 168768?

168,768 seconds is equal to 1 day, 22 hours, 52 minutes, 48 seconds.
To count from 1 to 168,768 would take you about twenty-two 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 168768 cubic inches would be around 4.6 feet tall.

Recreational maths with 168768

168768 backwards is 867861
168768 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 168768's digits is 36
More coming soon!

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The information we have on file for 168768 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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