166380480
166,380,480 is an even composite number composed of five prime numbers multiplied together.
166380480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 166380480:
26 × 34 × 5 × 72 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 131)See below for interesting mathematical facts about the number 166380480 from the Numbermatics database.
Names of 166380480
- Cardinal: 166380480 can be written as One hundred sixty-six million, three hundred eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.6638048 × 108
Factors of 166380480
Divisors of 166380480
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 131 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 245 252 262 270 280 288 294 315 320 324 336 360 378 392 393 405 420 432 441 448 480 490 504 524 540 560 567 576 588 630 648 655 672 720 735 756 784 786 810 840 864 882 917 945 960 980 1008 1048 1080 1120 1134 1176 1179 1260 1296 1310 1323 1344 1440 1470 1512 1568 1572 1620 1680 1728 1764 1834 1890 1960 1965 2016 2096 2160 2205 2240 2268 2352 2358 2520 2592 2620 2646 2751 2835 2880 2940 3024 3136 3144 3240 3360 3528 3537 3668 3780 3920 3930 3969 4032 4192 4320 4410 4536 4585 4704 4716 5040 5184 5240 5292 5502 5670 5880 5895 6048 6288 6419 6480 6615 6720 7056 7074 7336 7560 7840 7860 7938 8253 8384 8640 8820 9072 9170 9408 9432 10080 10480 10584 10611 11004 11340 11760 11790 12096 12576 12838 12960 13230 13755 14112 14148 14672 15120 15680 15720 15876 16506 17640 17685 18144 18340 18864 19257 19845 20160 20960 21168 21222 22008 22680 23520 23580 24759 25152 25676 25920 26460 27510 28224 28296 29344 30240 31440 31752 32095 33012 35280 35370 36288 36680 37728 38514 39690 41265 41920 42336 42444 44016 45360 47040 47160 49518 51352 52920 53055 55020 56592 57771 58688 60480 62880 63504 64190 66024 70560 70740 73360 74277 75456 77028 79380 82530 84672 84888 88032 90720 94320 96285 99036 102704 105840 106110 110040 113184 115542 123795 125760 127008 128380 132048 141120 141480 146720 148554 154056 158760 165060 169776 173313 176064 181440 188640 192570 198072 205408 211680 212220 220080 226368 231084 247590 254016 256760 264096 282960 288855 293440 297108 308112 317520 330120 339552 346626 371385 377280 385140 396144 410816 423360 424440 440160 462168 495180 513520 519939 528192 565920 577710 594216 616224 635040 660240 679104 693252 742770 770280 792288 848880 866565 880320 924336 990360 1027040 1039878 1131840 1155420 1188432 1232448 1270080 1320480 1386504 1485540 1540560 1584576 1697760 1733130 1848672 1980720 2054080 2079756 2310840 2376864 2599695 2640960 2773008 2971080 3081120 3395520 3466260 3697344 3961440 4159512 4621680 4753728 5199390 5546016 5942160 6162240 6932520 7922880 8319024 9243360 10398780 11092032 11884320 13865040 16638048 18486720 20797560 23768640 27730080 33276096 41595120 55460160 83190240 166380480
- Sum of all divisors σ(n): 693727848
- Sum of proper divisors (its aliquot sum) s(n): 527347368
- 166380480 is an abundant number, because the sum of its proper divisors (527347368) is greater than itself. Its abundance is 360966888
Bases of 166380480
- Binary: 10011110101011000011110000002
- Hexadecimal: 0x9EAC3C0
- Base-36: 2R2400
Squares and roots of 166380480
- 166380480 squared (1663804802) is 27682464125030400
- 166380480 cubed (1663804803) is 4605821668705337966592000
-
The
square root of 166380480 is 12898.8557632063 -
The
cube root of 166380480 is 550.0060385011
Scales and comparisons
How big is 166380480?- 166,380,480 seconds is equal to 5 years, 15 weeks, 16 hours, 48 minutes.
-
To count from 1 to 166,380,480 would take you about seven 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 166380480 cubic inches would be around 45.8 feet tall.
Recreational maths with 166380480
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