85372320
85,372,320 is an even composite number composed of seven prime numbers multiplied together.
85372320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 85372320:
25 × 3 × 5 × 11 × 19 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 23 × 37)See below for interesting mathematical facts about the number 85372320 from the Numbermatics database.
Names of 85372320
- Cardinal: 85372320 can be written as Eighty-five million, three hundred seventy-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.537232 × 107
Factors of 85372320
Divisors of 85372320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 23 24 30 32 33 37 38 40 44 46 48 55 57 60 66 69 74 76 80 88 92 95 96 110 111 114 115 120 132 138 148 152 160 165 176 184 185 190 209 220 222 228 230 240 253 264 276 285 296 304 330 345 352 368 370 380 407 418 437 440 444 456 460 480 506 528 552 555 570 592 608 627 660 690 703 736 740 759 760 814 836 851 874 880 888 912 920 1012 1045 1056 1104 1110 1140 1184 1221 1254 1265 1311 1320 1380 1406 1480 1518 1520 1628 1672 1702 1748 1760 1776 1824 1840 2024 2035 2090 2109 2185 2208 2220 2280 2442 2508 2530 2553 2622 2640 2760 2812 2960 3036 3040 3135 3256 3344 3404 3496 3515 3552 3680 3795 4048 4070 4180 4218 4255 4370 4440 4560 4807 4884 5016 5060 5106 5244 5280 5520 5624 5920 6072 6105 6270 6512 6555 6688 6808 6992 7030 7590 7733 8096 8140 8360 8436 8510 8740 8880 9120 9361 9614 9768 10032 10120 10212 10488 10545 11040 11248 12144 12210 12540 12765 13024 13110 13616 13984 14060 14421 15180 15466 16169 16280 16720 16872 17020 17480 17760 18722 19228 19536 20064 20240 20424 20976 21090 22496 23199 24035 24288 24420 25080 25530 26220 27232 28083 28120 28842 30360 30932 32338 32560 33440 33744 34040 34960 37444 38456 38665 39072 40480 40848 41952 42180 46398 46805 48070 48507 48840 50160 51060 52440 56166 56240 57684 60720 61864 64676 65120 67488 68080 69920 72105 74888 76912 77330 80845 81696 84360 92796 93610 96140 97014 97680 100320 102120 104880 112332 112480 115368 115995 121440 123728 129352 136160 140415 144210 149776 153824 154660 161690 168720 177859 185592 187220 192280 194028 195360 204240 209760 224664 230736 231990 242535 247456 258704 280830 288420 299552 309320 323380 337440 355718 371184 374440 384560 388056 408480 449328 461472 463980 485070 517408 533577 561660 576840 618640 646760 711436 742368 748880 769120 776112 889295 898656 927960 970140 1067154 1123320 1153680 1237280 1293520 1422872 1497760 1552224 1778590 1855920 1940280 2134308 2246640 2307360 2587040 2667885 2845744 3557180 3711840 3880560 4268616 4493280 5335770 5691488 7114360 7761120 8537232 10671540 14228720 17074464 21343080 28457440 42686160 85372320
- Sum of all divisors σ(n): 330946560
- Sum of proper divisors (its aliquot sum) s(n): 245574240
- 85372320 is an abundant number, because the sum of its proper divisors (245574240) is greater than itself. Its abundance is 160201920
Bases of 85372320
- Binary: 1010001011010101101101000002
- Hexadecimal: 0x516ADA0
- Base-36: 1ETTPC
Squares and roots of 85372320
- 85372320 squared (853723202) is 7288433022182400
- 85372320 cubed (853723203) is 622230436268322951168000
-
The
square root of 85372320 is 9239.7142812967 -
The
cube root of 85372320 is 440.3240037785
Scales and comparisons
How big is 85372320?- 85,372,320 seconds is equal to 2 years, 37 weeks, 1 day, 2 hours, 32 minutes.
-
To count from 1 to 85,372,320 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 85372320 cubic inches would be around 36.7 feet tall.
Recreational maths with 85372320
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