212829120
212,829,120 is an even composite number composed of six prime numbers multiplied together.
212829120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 212829120:
26 × 35 × 5 × 7 × 17 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 17 × 23)See below for interesting mathematical facts about the number 212829120 from the Numbermatics database.
Names of 212829120
- Cardinal: 212829120 can be written as Two hundred twelve million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1282912 × 108
Factors of 212829120
Divisors of 212829120
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 23 24 27 28 30 32 34 35 36 40 42 45 46 48 51 54 56 60 63 64 68 69 70 72 80 81 84 85 90 92 96 102 105 108 112 115 119 120 126 135 136 138 140 144 153 160 161 162 168 170 180 184 189 192 204 207 210 216 224 230 238 240 243 252 255 270 272 276 280 288 306 315 320 322 324 336 340 345 357 360 368 378 391 405 408 414 420 432 448 459 460 476 480 483 486 504 510 540 544 552 560 567 576 595 612 621 630 644 648 672 680 690 714 720 736 756 765 782 805 810 816 828 840 864 918 920 945 952 960 966 972 1008 1020 1035 1071 1080 1088 1104 1120 1134 1173 1190 1215 1224 1242 1260 1288 1296 1344 1360 1377 1380 1428 1440 1449 1472 1512 1530 1564 1610 1620 1632 1656 1680 1701 1728 1785 1836 1840 1863 1890 1904 1932 1944 1955 2016 2040 2070 2142 2160 2208 2240 2268 2295 2346 2380 2415 2430 2448 2484 2520 2576 2592 2720 2737 2754 2760 2835 2856 2880 2898 3024 3060 3105 3128 3213 3220 3240 3264 3312 3360 3402 3519 3570 3672 3680 3726 3780 3808 3864 3888 3910 4032 4080 4131 4140 4284 4320 4347 4416 4536 4590 4692 4760 4830 4860 4896 4968 5040 5152 5184 5355 5440 5474 5508 5520 5589 5670 5712 5796 5865 6048 6120 6210 6256 6426 6440 6480 6624 6720 6804 6885 7038 7140 7245 7344 7360 7452 7560 7616 7728 7776 7820 8160 8211 8262 8280 8505 8568 8640 8694 9072 9180 9315 9384 9520 9639 9660 9720 9792 9936 10080 10304 10557 10710 10948 11016 11040 11178 11340 11424 11592 11730 12096 12240 12420 12512 12852 12880 12960 13041 13248 13608 13685 13770 14076 14280 14490 14688 14904 15120 15456 15552 15640 16065 16320 16422 16524 16560 17010 17136 17388 17595 18144 18360 18630 18768 19040 19278 19320 19440 19872 20160 20655 21114 21420 21735 21896 22032 22080 22356 22680 22848 23184 23460 24480 24633 24840 25024 25704 25760 25920 26082 27216 27370 27540 27945 28152 28560 28917 28980 29376 29808 30240 30912 31280 31671 32130 32844 33048 33120 34020 34272 34776 35190 36288 36720 37260 37536 38080 38556 38640 38880 39123 39744 41055 41310 42228 42840 43470 43792 44064 44712 45360 46368 46920 48195 48960 49266 49680 51408 51520 52164 52785 54432 54740 55080 55890 56304 57120 57834 57960 59616 60480 62560 63342 64260 65205 65688 66096 66240 68040 68544 69552 70380 73440 73899 74520 75072 77112 77280 77760 78246 82110 82620 84456 85680 86940 87584 88128 89424 90720 92736 93840 95013 96390 98532 99360 102816 104328 105570 108864 109480 110160 111780 112608 114240 115668 115920 119232 123165 125120 126684 128520 130410 131376 132192 136080 139104 140760 144585 146880 147798 149040 154224 154560 156492 158355 164220 165240 168912 171360 173880 175168 178848 181440 187680 190026 192780 195615 197064 198720 205632 208656 211140 218960 220320 221697 223560 225216 231336 231840 246330 253368 257040 260820 262752 264384 272160 278208 281520 289170 295596 298080 308448 312984 316710 328440 330480 337824 342720 347760 357696 369495 375360 380052 385560 391230 394128 417312 422280 437920 440640 443394 447120 462672 463680 475065 492660 506736 514080 521640 525504 544320 563040 578340 591192 596160 616896 625968 633420 656880 660960 665091 675648 695520 738990 760104 771120 782460 788256 834624 844560 875840 886788 894240 925344 950130 985320 1013472 1028160 1043280 1108485 1126080 1156680 1182384 1251936 1266840 1313760 1321920 1330182 1391040 1477980 1520208 1542240 1564920 1576512 1689120 1773576 1788480 1850688 1900260 1970640 2026944 2086560 2216970 2313360 2364768 2503872 2533680 2627520 2660364 2955960 3040416 3084480 3129840 3325455 3378240 3547152 3800520 3941280 4173120 4433940 4626720 4729536 5067360 5320728 5911920 6080832 6259680 6650910 7094304 7601040 7882560 8867880 9253440 10134720 10641456 11823840 12519360 13301820 14188608 15202080 17735760 21282912 23647680 26603640 30404160 35471520 42565824 53207280 70943040 106414560 212829120
- Sum of all divisors σ(n): 958583808
- Sum of proper divisors (its aliquot sum) s(n): 745754688
- 212829120 is an abundant number, because the sum of its proper divisors (745754688) is greater than itself. Its abundance is 532925568
Bases of 212829120
- Binary: 11001010111110000011110000002
- Hexadecimal: 0xCAF83C0
- Base-36: 3IPO00
Squares and roots of 212829120
- 212829120 squared (2128291202) is 45296234319974400
- 212829120 cubed (2128291203) is 9640357689633949974528000
-
The
square root of 212829120 is 14588.6640923699 -
The
cube root of 212829120 is 597.0495148447
Scales and comparisons
How big is 212829120?- 212,829,120 seconds is equal to 6 years, 39 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 212,829,120 would take you about ten 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 212829120 cubic inches would be around 49.8 feet tall.
Recreational maths with 212829120
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