507072

507,072 is an even composite number composed of four prime numbers multiplied together.

What does the number 507072 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

507072 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 507072:

2⁶ × 3 × 19 × 139

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 139)

See below for interesting mathematical facts about the number 507072 from the Numbermatics database.

Names of 507072

Cardinal: 507072 can be written as Five hundred seven thousand and seventy-two.

Scientific notation

Scientific notation: 5.07072 × 10⁵

Factors of 507072

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 163

Divisors of 507072

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 139 152 192 228 278 304 417 456 556 608 834 912 1112 1216 1668 1824 2224 2641 3336 3648 4448 5282 6672 7923 8896 10564 13344 15846 21128 26688 31692 42256 63384 84512 126768 169024 253536 507072
Sum of all divisors σ(n): 1422400
Sum of proper divisors (its aliquot sum) s(n): 915328
507072 is an abundant number, because the sum of its proper divisors (915328) is greater than itself. Its abundance is 408256

Bases of 507072

Binary: 1111011110011000000₂
Hexadecimal: 0x7BCC0
Base-36: AV9C

Squares and roots of 507072

507072 squared (507072²) is 257122013184
507072 cubed (507072³) is 130379373469237248
The square root of 507072 is 712.0898819671
The cube root of 507072 is 79.7425054295

Scales and comparisons

How big is 507072?

507,072 seconds is equal to 5 days, 20 hours, 51 minutes, 12 seconds.
To count from 1 to 507,072 would take you about five 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 507072 cubic inches would be around 6.6 feet tall.

Recreational maths with 507072

507072 backwards is 270705
The number of decimal digits it has is: 6
The sum of 507072's digits is 21
More coming soon!

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The information we have on file for 507072 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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