981984

981,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 981984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

981984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 981984:

2⁵ × 3 × 53 × 193

(2 × 2 × 2 × 2 × 2 × 3 × 53 × 193)

See below for interesting mathematical facts about the number 981984 from the Numbermatics database.

Names of 981984

Cardinal: 981984 can be written as Nine hundred eighty-one thousand, nine hundred eighty-four.

Scientific notation

Scientific notation: 9.81984 × 10⁵

Factors of 981984

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 251

Divisors of 981984

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 193 212 318 386 424 579 636 772 848 1158 1272 1544 1696 2316 2544 3088 4632 5088 6176 9264 10229 18528 20458 30687 40916 61374 81832 122748 163664 245496 327328 490992 981984
Sum of all divisors σ(n): 2639952
Sum of proper divisors (its aliquot sum) s(n): 1657968
981984 is an abundant number, because the sum of its proper divisors (1657968) is greater than itself. Its abundance is 675984

Bases of 981984

Binary: 11101111101111100000₂
Hexadecimal: 0xEFBE0
Base-36: L1PC

Squares and roots of 981984

981984 squared (981984²) is 964292576256
981984 cubed (981984³) is 946919881202171904
The square root of 981984 is 990.9510583273
The cube root of 981984 is 99.3958237285

Scales and comparisons

How big is 981984?

981,984 seconds is equal to 1 week, 4 days, 8 hours, 46 minutes, 24 seconds.
To count from 1 to 981,984 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 981984 cubic inches would be around 8.3 feet tall.

Recreational maths with 981984

981984 backwards is 489189
The number of decimal digits it has is: 6
The sum of 981984's digits is 39
More coming soon!

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The information we have on file for 981984 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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