688128

688,128 is an even composite number composed of three prime numbers multiplied together.

What does the number 688128 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

688128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 688128:

2¹⁵ × 3 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 688128 from the Numbermatics database.

Names of 688128

Cardinal: 688128 can be written as Six hundred eighty-eight thousand, one hundred twenty-eight.

Scientific notation

Scientific notation: 6.88128 × 10⁵

Factors of 688128

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 17
Sum of prime factors: 12

Divisors of 688128

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 86016 98304 114688 172032 229376 344064 688128
Sum of all divisors σ(n): 2097120
Sum of proper divisors (its aliquot sum) s(n): 1408992
688128 is an abundant number, because the sum of its proper divisors (1408992) is greater than itself. Its abundance is 720864

Bases of 688128

Binary: 10101000000000000000₂
Hexadecimal: 0xA8000
Base-36: EQYO

Squares and roots of 688128

688128 squared (688128²) is 473520144384
688128 cubed (688128³) is 325842469914673152
The square root of 688128 is 829.5348093963
The cube root of 688128 is 88.2855736441

Scales and comparisons

How big is 688128?

688,128 seconds is equal to 1 week, 23 hours, 8 minutes, 48 seconds.
To count from 1 to 688,128 would take you about twenty-three hours!

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 688128 cubic inches would be around 7.4 feet tall.

Recreational maths with 688128

688128 backwards is 821886
The number of decimal digits it has is: 6
The sum of 688128's digits is 33
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The information we have on file for 688128 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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