32,768 is an even composite number. It is composed of a single prime number multiplied by itself fourteen times.
32768 is an even composite number. It is composed of one distinct prime number multiplied by itself fourteen times. It has a total of sixteen divisors.
Prime factorization of 32768:
215(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)
See below for interesting mathematical facts about the number 32768 from the Numbermatics database.
Names of 32768
- Cardinal: 32768 can be written as Thirty-two thousand, seven hundred sixty-eight.
- Scientific notation: 3.2768 × 104
Factors of 32768
Divisors of 32768
Bases of 32768
- Binary: 10000000000000002
- Hexadecimal: 0x8000
- Base-36: PA8
Squares and roots of 32768
- 32768 squared (327682) is 1073741824
- 32768 cubed (327683) is 35184372088832
square rootof 32768 is 181.0193359837
32768 is a
perfect cube number. Its cube rootis 32
Scales and comparisonsHow big is 32768?
- 32,768 seconds is equal to 9 hours, 6 minutes, 8 seconds.
To count from 1 to 32,768 would take you about nine 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 32768 cubic inches would be around 2.7 feet tall.
Recreational maths with 32768
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"Number 32768 - Facts about the integer". Numbermatics.com. 2023. Web. 2 June 2023.
Numbermatics. (2023). Number 32768 - Facts about the integer. Retrieved 2 June 2023, from https://numbermatics.com/n/32768/
Numbermatics. 2023. "Number 32768 - Facts about the integer". https://numbermatics.com/n/32768/
The information we have on file for 32768 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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