135792000
135,792,000 is an even composite number composed of five prime numbers multiplied together.
135792000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135792000:
27 × 32 × 53 × 23 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 41)See below for interesting mathematical facts about the number 135792000 from the Numbermatics database.
Names of 135792000
- Cardinal: 135792000 can be written as One hundred thirty-five million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.35792 × 108
Factors of 135792000
Divisors of 135792000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 41 45 46 48 50 60 64 69 72 75 80 82 90 92 96 100 115 120 123 125 128 138 144 150 160 164 180 184 192 200 205 207 225 230 240 246 250 276 288 300 320 328 345 360 368 369 375 384 400 410 414 450 460 480 492 500 552 575 576 600 615 640 656 690 720 736 738 750 800 820 828 900 920 943 960 984 1000 1025 1035 1104 1125 1150 1152 1200 1230 1312 1380 1440 1472 1476 1500 1600 1640 1656 1725 1800 1840 1845 1886 1920 1968 2000 2050 2070 2208 2250 2300 2400 2460 2624 2760 2829 2875 2880 2944 2952 3000 3075 3200 3280 3312 3450 3600 3680 3690 3772 3936 4000 4100 4140 4416 4500 4600 4715 4800 4920 5125 5175 5248 5520 5658 5750 5760 5904 6000 6150 6560 6624 6900 7200 7360 7380 7544 7872 8000 8200 8280 8487 8625 8832 9000 9200 9225 9430 9600 9840 10250 10350 11040 11316 11500 11808 12000 12300 13120 13248 13800 14145 14400 14720 14760 15088 15375 15744 16000 16400 16560 16974 17250 18000 18400 18450 18860 19680 20500 20700 22080 22632 23000 23575 23616 24000 24600 25875 26240 26496 27600 28290 28800 29520 30176 30750 32800 33120 33948 34500 36000 36800 36900 37720 39360 41000 41400 42435 44160 45264 46000 46125 47150 47232 48000 49200 51750 55200 56580 59040 60352 61500 65600 66240 67896 69000 70725 72000 73600 73800 75440 78720 82000 82800 84870 90528 92000 92250 94300 98400 103500 110400 113160 117875 118080 120704 123000 131200 132480 135792 138000 141450 144000 147600 150880 164000 165600 169740 181056 184000 184500 188600 196800 207000 212175 220800 226320 235750 236160 246000 271584 276000 282900 295200 301760 328000 331200 339480 353625 362112 368000 369000 377200 393600 414000 424350 452640 471500 492000 543168 552000 565800 590400 603520 656000 662400 678960 707250 738000 754400 828000 848700 905280 943000 984000 1060875 1086336 1104000 1131600 1180800 1357920 1414500 1476000 1508800 1656000 1697400 1810560 1886000 1968000 2121750 2263200 2715840 2829000 2952000 3017600 3312000 3394800 3772000 4243500 4526400 5431680 5658000 5904000 6789600 7544000 8487000 9052800 11316000 13579200 15088000 16974000 22632000 27158400 33948000 45264000 67896000 135792000
- Sum of all divisors σ(n): 521277120
- Sum of proper divisors (its aliquot sum) s(n): 385485120
- 135792000 is an abundant number, because the sum of its proper divisors (385485120) is greater than itself. Its abundance is 249693120
Bases of 135792000
- Binary: 10000001100000000101100000002
- Hexadecimal: 0x8180580
- Base-36: 28UHS0
Squares and roots of 135792000
- 135792000 squared (1357920002) is 18439467264000000
- 135792000 cubed (1357920003) is 2503932138713088000000000
-
The
square root of 135792000 is 11652.9824508581 -
The
cube root of 135792000 is 513.9940144749
Scales and comparisons
How big is 135792000?- 135,792,000 seconds is equal to 4 years, 16 weeks, 3 days, 16 hours.
-
To count from 1 to 135,792,000 would take you about six years!
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 135792000 cubic inches would be around 42.8 feet tall.
Recreational maths with 135792000
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135792000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 135792000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/135792000/
Chicago style:
Numbermatics. 2024. "Number 135792000 - Facts about the integer". https://numbermatics.com/n/135792000/
The information we have on file for 135792000 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!
Keywords: Divisors of 135792000, math, Factors of 135792000, curriculum, school, college, exams, university, Prime factorization of 135792000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five million, seven hundred ninety-two thousand.