968000
968,000 is an even composite number composed of three prime numbers multiplied together.
What does the number 968000 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 84 divisors.
968000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 968000:
26 × 53 × 112
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11)See below for interesting mathematical facts about the number 968000 from the Numbermatics database.
Names of 968000
- Cardinal: 968000 can be written as Nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.68 × 105
Factors of 968000
Divisors of 968000
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 704 800 880 968 1000 1100 1210 1375 1600 1760 1936 2000 2200 2420 2750 3025 3520 3872 4000 4400 4840 5500 6050 7744 8000 8800 9680 11000 12100 15125 17600 19360 22000 24200 30250 38720 44000 48400 60500 88000 96800 121000 193600 242000 484000 968000
- Sum of all divisors σ(n): 2634996
- Sum of proper divisors (its aliquot sum) s(n): 1666996
- 968000 is an abundant number, because the sum of its proper divisors (1666996) is greater than itself. Its abundance is 698996
Bases of 968000
- Binary: 111011000101010000002
- Hexadecimal: 0xEC540
- Base-36: KQWW
Squares and roots of 968000
- 968000 squared (9680002) is 937024000000
- 968000 cubed (9680003) is 907039232000000000
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The
square root of 968000 is 983.8699100999 -
The
cube root of 968000 is 98.9217488651
Scales and comparisons
How big is 968000?- 968,000 seconds is equal to 1 week, 4 days, 4 hours, 53 minutes, 20 seconds.
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To count from 1 to 968,000 would take you about four days!
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 968000 cubic inches would be around 8.2 feet tall.
Recreational maths with 968000
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The information we have on file for 968000 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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