127728

127,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 127728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

127728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 127728:

2⁴ × 3² × 887

(2 × 2 × 2 × 2 × 3 × 3 × 887)

See below for interesting mathematical facts about the number 127728 from the Numbermatics database.

Names of 127728

Cardinal: 127728 can be written as One hundred twenty-seven thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.27728 × 10⁵

Factors of 127728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 892

Divisors of 127728

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 887 1774 2661 3548 5322 7096 7983 10644 14192 15966 21288 31932 42576 63864 127728
Sum of all divisors σ(n): 357864
Sum of proper divisors (its aliquot sum) s(n): 230136
127728 is an abundant number, because the sum of its proper divisors (230136) is greater than itself. Its abundance is 102408

Bases of 127728

Binary: 11111001011110000₂
Hexadecimal: 0x1F2F0
Base-36: 2QK0

Squares and roots of 127728

127728 squared (127728²) is 16314441984
127728 cubed (127728³) is 2083811045732352
The square root of 127728 is 357.3905426841
The cube root of 127728 is 50.3611189169

Scales and comparisons

How big is 127728?

127,728 seconds is equal to 1 day, 11 hours, 28 minutes, 48 seconds.
To count from 1 to 127,728 would take you about eleven 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 127728 cubic inches would be around 4.2 feet tall.

Recreational maths with 127728

127728 backwards is 827721
The number of decimal digits it has is: 6
The sum of 127728's digits is 27
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/127728/?utm_source=shared">Number 127728 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/127728/?utm_source=shared]Number 127728 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 127728 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 127728 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/127728/

Chicago style:
Numbermatics. 2024. "Number 127728 - Facts about the integer". https://numbermatics.com/n/127728/

The information we have on file for 127728 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!

Keywords: Divisors of 127728, math, Factors of 127728, curriculum, school, college, exams, university, Prime factorization of 127728, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-seven thousand, seven hundred twenty-eight.