513968

513,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 513968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

513968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 513968:

2⁴ × 7 × 13 × 353

(2 × 2 × 2 × 2 × 7 × 13 × 353)

See below for interesting mathematical facts about the number 513968 from the Numbermatics database.

Names of 513968

Cardinal: 513968 can be written as Five hundred thirteen thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 5.13968 × 10⁵

Factors of 513968

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 375

Divisors of 513968

Number of divisors d(n): 40
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 353 364 706 728 1412 1456 2471 2824 4589 4942 5648 9178 9884 18356 19768 32123 36712 39536 64246 73424 128492 256984 513968
Sum of all divisors σ(n): 1229088
Sum of proper divisors (its aliquot sum) s(n): 715120
513968 is an abundant number, because the sum of its proper divisors (715120) is greater than itself. Its abundance is 201152

Bases of 513968

Binary: 1111101011110110000₂
Hexadecimal: 0x7D7B0
Base-36: B0KW

Squares and roots of 513968

513968 squared (513968²) is 264163105024
513968 cubed (513968³) is 135771382762975232
The square root of 513968 is 716.9156156759
The cube root of 513968 is 80.1023689515

Scales and comparisons

How big is 513968?

513,968 seconds is equal to 5 days, 22 hours, 46 minutes, 8 seconds.
To count from 1 to 513,968 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 513968 cubic inches would be around 6.7 feet tall.

Recreational maths with 513968

513968 backwards is 869315
The number of decimal digits it has is: 6
The sum of 513968's digits is 32
More coming soon!

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The information we have on file for 513968 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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