138320
138,320 is an even composite number composed of five prime numbers multiplied together.
138320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 138320:
24 × 5 × 7 × 13 × 19
(2 × 2 × 2 × 2 × 5 × 7 × 13 × 19)See below for interesting mathematical facts about the number 138320 from the Numbermatics database.
Names of 138320
- Cardinal: 138320 can be written as One hundred thirty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3832 × 105
Factors of 138320
Divisors of 138320
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1456 1520 1729 1820 1976 2128 2470 2660 3458 3640 3952 4940 5320 6916 7280 8645 9880 10640 13832 17290 19760 27664 34580 69160 138320
- Sum of all divisors σ(n): 416640
- Sum of proper divisors (its aliquot sum) s(n): 278320
- 138320 is an abundant number, because the sum of its proper divisors (278320) is greater than itself. Its abundance is 140000
Bases of 138320
- Binary: 1000011100010100002
- Hexadecimal: 0x21C50
- Base-36: 2YQ8
Squares and roots of 138320
- 138320 squared (1383202) is 19132422400
- 138320 cubed (1383203) is 2646396666368000
-
The
square root of 138320 is 371.9139685465 -
The
cube root of 138320 is 51.7164048719
Scales and comparisons
How big is 138320?- 138,320 seconds is equal to 1 day, 14 hours, 25 minutes, 20 seconds.
-
To count from 1 to 138,320 would take you about fourteen 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 138320 cubic inches would be around 4.3 feet tall.
Recreational maths with 138320
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