972672

972,672 is an even composite number composed of four prime numbers multiplied together.

What does the number 972672 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

972672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 972672:

2⁷ × 3 × 17 × 149

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 149)

See below for interesting mathematical facts about the number 972672 from the Numbermatics database.

Names of 972672

Cardinal: 972672 can be written as Nine hundred seventy-two thousand, six hundred seventy-two.

Scientific notation

Scientific notation: 9.72672 × 10⁵

Factors of 972672

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 10
Sum of prime factors: 171

Divisors of 972672

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 272 298 384 408 447 544 596 816 894 1088 1192 1632 1788 2176 2384 2533 3264 3576 4768 5066 6528 7152 7599 9536 10132 14304 15198 19072 20264 28608 30396 40528 57216 60792 81056 121584 162112 243168 324224 486336 972672
Sum of all divisors σ(n): 2754000
Sum of proper divisors (its aliquot sum) s(n): 1781328
972672 is an abundant number, because the sum of its proper divisors (1781328) is greater than itself. Its abundance is 808656

Bases of 972672

Binary: 11101101011110000000₂
Hexadecimal: 0xED780
Base-36: KUIO

Squares and roots of 972672

972672 squared (972672²) is 946090819584
972672 cubed (972672³) is 920236049666408448
The square root of 972672 is 986.2413497721
The cube root of 972672 is 99.0806403471

Scales and comparisons

How big is 972672?

972,672 seconds is equal to 1 week, 4 days, 6 hours, 11 minutes, 12 seconds.
To count from 1 to 972,672 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 972672 cubic inches would be around 8.3 feet tall.

Recreational maths with 972672

972672 backwards is 276279
The number of decimal digits it has is: 6
The sum of 972672's digits is 33
More coming soon!

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The information we have on file for 972672 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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