180972

180,972 is an even composite number composed of four prime numbers multiplied together.

What does the number 180972 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

180972 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 180972:

2² × 3² × 11 × 457

(2 × 2 × 3 × 3 × 11 × 457)

See below for interesting mathematical facts about the number 180972 from the Numbermatics database.

Names of 180972

Cardinal: 180972 can be written as One hundred eighty thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 1.80972 × 10⁵

Factors of 180972

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 473

Divisors of 180972

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 457 914 1371 1828 2742 4113 5027 5484 8226 10054 15081 16452 20108 30162 45243 60324 90486 180972
Sum of all divisors σ(n): 500136
Sum of proper divisors (its aliquot sum) s(n): 319164
180972 is an abundant number, because the sum of its proper divisors (319164) is greater than itself. Its abundance is 138192

Bases of 180972

Binary: 101100001011101100₂
Hexadecimal: 0x2C2EC
Base-36: 3VN0

Squares and roots of 180972

180972 squared (180972²) is 32750864784
180972 cubed (180972³) is 5926989501690048
The square root of 180972 is 425.4080394163
The cube root of 180972 is 56.5636112335

Scales and comparisons

How big is 180972?

180,972 seconds is equal to 2 days, 2 hours, 16 minutes, 12 seconds.
To count from 1 to 180,972 would take you about two 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 180972 cubic inches would be around 4.7 feet tall.

Recreational maths with 180972

180972 backwards is 279081
The number of decimal digits it has is: 6
The sum of 180972's digits is 27
More coming soon!

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The information we have on file for 180972 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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