971264

971,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 971264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

971264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 971264:

2⁹ × 7 × 271

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 271)

See below for interesting mathematical facts about the number 971264 from the Numbermatics database.

Names of 971264

Cardinal: 971264 can be written as Nine hundred seventy-one thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 9.71264 × 10⁵

Factors of 971264

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 280

Divisors of 971264

Number of divisors d(n): 40
Complete list of divisors:
1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 448 512 542 896 1084 1792 1897 2168 3584 3794 4336 7588 8672 15176 17344 30352 34688 60704 69376 121408 138752 242816 485632 971264
Sum of all divisors σ(n): 2226048
Sum of proper divisors (its aliquot sum) s(n): 1254784
971264 is an abundant number, because the sum of its proper divisors (1254784) is greater than itself. Its abundance is 283520

Bases of 971264

Binary: 11101101001000000000₂
Hexadecimal: 0xED200
Base-36: KTFK

Squares and roots of 971264

971264 squared (971264²) is 943353757696
971264 cubed (971264³) is 916245544114847744
The square root of 971264 is 985.5272700439
The cube root of 971264 is 99.0328089061

Scales and comparisons

How big is 971264?

971,264 seconds is equal to 1 week, 4 days, 5 hours, 47 minutes, 44 seconds.
To count from 1 to 971,264 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 971264 cubic inches would be around 8.3 feet tall.

Recreational maths with 971264

971264 backwards is 462179
The number of decimal digits it has is: 6
The sum of 971264's digits is 29
More coming soon!

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The information we have on file for 971264 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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