85205120
85,205,120 is an even composite number composed of six prime numbers multiplied together.
85205120 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 85205120:
27 × 5 × 72 × 11 × 13 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 13 × 19)See below for interesting mathematical facts about the number 85205120 from the Numbermatics database.
Names of 85205120
- Cardinal: 85205120 can be written as Eighty-five million, two hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.520512 × 107
Factors of 85205120
Divisors of 85205120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 26 28 32 35 38 40 44 49 52 55 56 64 65 70 76 77 80 88 91 95 98 104 110 112 128 130 133 140 143 152 154 160 176 182 190 196 208 209 220 224 245 247 260 266 280 286 304 308 320 352 364 380 385 392 416 418 440 448 455 490 494 520 532 539 560 572 608 616 637 640 665 704 715 728 760 770 784 832 836 880 896 910 931 980 988 1001 1040 1045 1064 1078 1120 1144 1216 1232 1235 1274 1330 1408 1430 1456 1463 1520 1540 1568 1664 1672 1729 1760 1820 1862 1960 1976 2002 2080 2090 2128 2156 2240 2288 2432 2464 2470 2548 2660 2695 2717 2860 2912 2926 3040 3080 3136 3185 3344 3458 3520 3640 3724 3920 3952 4004 4160 4180 4256 4312 4480 4576 4655 4928 4940 5005 5096 5320 5390 5434 5720 5824 5852 6080 6160 6272 6370 6688 6916 7007 7040 7280 7315 7448 7840 7904 8008 8320 8360 8512 8624 8645 9152 9310 9856 9880 10010 10192 10241 10640 10780 10868 11440 11648 11704 12103 12160 12320 12740 13376 13585 13832 14014 14560 14630 14896 15680 15808 16016 16720 17024 17248 17290 18304 18620 19019 19760 20020 20384 20482 21280 21560 21736 22880 23408 24206 24640 25480 26752 27170 27664 28028 29120 29260 29792 31360 31616 32032 33440 34496 34580 35035 37240 38038 39520 40040 40768 40964 42560 43120 43472 45760 46816 48412 49280 50960 51205 54340 55328 56056 58240 58520 59584 60515 64064 66880 68992 69160 70070 74480 76076 79040 80080 81536 81928 85120 86240 86944 91520 93632 95095 96824 101920 102410 108680 110656 112112 117040 119168 121030 128128 133133 133760 138320 140140 148960 152152 158080 160160 163856 172480 173888 187264 190190 193648 203840 204820 217360 221312 224224 234080 242060 266266 276640 280280 297920 304304 320320 327712 344960 347776 380380 387296 407680 409640 434720 448448 468160 484120 532532 553280 560560 595840 608608 640640 655424 665665 760760 774592 819280 869440 896896 936320 968240 1065064 1106560 1121120 1217216 1310848 1331330 1521520 1549184 1638560 1738880 1936480 2130128 2242240 2434432 2662660 3043040 3277120 3872960 4260256 4484480 5325320 6086080 6554240 7745920 8520512 10650640 12172160 17041024 21301280 42602560 85205120
- Sum of all divisors σ(n): 293025600
- Sum of proper divisors (its aliquot sum) s(n): 207820480
- 85205120 is an abundant number, because the sum of its proper divisors (207820480) is greater than itself. Its abundance is 122615360
Bases of 85205120
- Binary: 1010001010000100000100000002
- Hexadecimal: 0x5142080
- Base-36: 1EQ8OW
Squares and roots of 85205120
- 85205120 squared (852051202) is 7259912474214400
- 85205120 cubed (852051203) is 618581713554934857728000
-
The
square root of 85205120 is 9230.6619480945 -
The
cube root of 85205120 is 440.0363606315
Scales and comparisons
How big is 85205120?- 85,205,120 seconds is equal to 2 years, 36 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
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To count from 1 to 85,205,120 would take you about four 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 85205120 cubic inches would be around 36.7 feet tall.
Recreational maths with 85205120
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