135564000
135,564,000 is an even composite number composed of six prime numbers multiplied together.
135564000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135564000:
25 × 3 × 53 × 11 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 79)See below for interesting mathematical facts about the number 135564000 from the Numbermatics database.
Names of 135564000
- Cardinal: 135564000 can be written as One hundred thirty-five million, five hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.35564 × 108
Factors of 135564000
Divisors of 135564000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 65 66 75 78 79 80 88 96 100 104 110 120 125 130 132 143 150 156 158 160 165 176 195 200 208 220 237 240 250 260 264 275 286 300 312 316 325 330 352 375 390 395 400 416 429 440 474 480 500 520 528 550 572 600 624 632 650 660 715 750 780 790 800 825 858 869 880 948 975 1000 1027 1040 1056 1100 1144 1185 1200 1248 1264 1300 1320 1375 1430 1500 1560 1580 1625 1650 1716 1738 1760 1896 1950 1975 2000 2054 2080 2145 2200 2288 2370 2400 2528 2600 2607 2640 2750 2860 3000 3081 3120 3160 3250 3300 3432 3476 3575 3792 3900 3950 4000 4108 4125 4290 4345 4400 4576 4740 4875 5135 5200 5214 5280 5500 5720 5925 6000 6162 6240 6320 6500 6600 6864 6952 7150 7584 7800 7900 8216 8250 8580 8690 8800 9480 9750 9875 10270 10400 10428 10725 11000 11297 11440 11850 12000 12324 12640 13000 13035 13200 13728 13904 14300 15405 15600 15800 16432 16500 17160 17380 17875 18960 19500 19750 20540 20856 21450 21725 22000 22594 22880 23700 24648 25675 26000 26070 26400 27808 28600 29625 30810 31200 31600 32864 33000 33891 34320 34760 35750 37920 39000 39500 41080 41712 42900 43450 44000 45188 47400 49296 51350 52000 52140 53625 56485 57200 59250 61620 63200 65175 66000 67782 68640 69520 71500 77025 78000 79000 82160 83424 85800 86900 90376 94800 98592 102700 104280 107250 108625 112970 114400 118500 123240 128375 130350 132000 135564 139040 143000 154050 156000 158000 164320 169455 171600 173800 180752 189600 205400 208560 214500 217250 225940 237000 246480 256750 260700 271128 282425 286000 308100 316000 325875 338910 343200 347600 361504 385125 410800 417120 429000 434500 451880 474000 492960 513500 521400 542256 564850 572000 616200 651750 677820 695200 770250 821600 847275 858000 869000 903760 948000 1027000 1042800 1084512 1129700 1232400 1303500 1355640 1412125 1540500 1694550 1716000 1738000 1807520 2054000 2085600 2259400 2464800 2607000 2711280 2824250 3081000 3389100 3476000 4108000 4236375 4518800 5214000 5422560 5648500 6162000 6778200 8472750 9037600 10428000 11297000 12324000 13556400 16945500 22594000 27112800 33891000 45188000 67782000 135564000
- Sum of all divisors σ(n): 528353280
- Sum of proper divisors (its aliquot sum) s(n): 392789280
- 135564000 is an abundant number, because the sum of its proper divisors (392789280) is greater than itself. Its abundance is 257225280
Bases of 135564000
- Binary: 10000001010010001010111000002
- Hexadecimal: 0x8148AE0
- Base-36: 28PLUO
Squares and roots of 135564000
- 135564000 squared (1355640002) is 18377598096000000
- 135564000 cubed (1355640003) is 2491340708286144000000000
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The
square root of 135564000 is 11643.1954376793 -
The
cube root of 135564000 is 513.7061814025
Scales and comparisons
How big is 135564000?- 135,564,000 seconds is equal to 4 years, 16 weeks, 1 day, 40 minutes.
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To count from 1 to 135,564,000 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 135564000 cubic inches would be around 42.8 feet tall.
Recreational maths with 135564000
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