10221120
10,221,120 is an even composite number composed of five prime numbers multiplied together.
10221120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 10221120:
26 × 33 × 5 × 7 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 13)See below for interesting mathematical facts about the number 10221120 from the Numbermatics database.
Names of 10221120
- Cardinal: 10221120 can be written as Ten million, two hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.022112 × 107
Factors of 10221120
Divisors of 10221120
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 168 169 180 182 189 192 195 208 210 216 224 234 240 252 260 270 273 280 288 312 315 320 336 338 351 360 364 378 390 416 420 432 448 455 468 480 504 507 520 540 546 560 576 585 624 630 672 676 702 720 728 756 780 819 832 840 845 864 910 936 945 960 1008 1014 1040 1080 1092 1120 1170 1183 1248 1260 1344 1352 1365 1404 1440 1456 1512 1521 1560 1638 1680 1690 1728 1755 1820 1872 1890 2016 2028 2080 2160 2184 2240 2340 2366 2457 2496 2520 2535 2704 2730 2808 2880 2912 3024 3042 3120 3276 3360 3380 3510 3549 3640 3744 3780 4032 4056 4095 4160 4320 4368 4563 4680 4732 4914 5040 5070 5408 5460 5616 5824 5915 6048 6084 6240 6552 6720 6760 7020 7098 7280 7488 7560 7605 8112 8190 8640 8736 9126 9360 9464 9828 10080 10140 10647 10816 10920 11232 11830 12096 12168 12285 12480 13104 13520 14040 14196 14560 15120 15210 16224 16380 17472 17745 18252 18720 18928 19656 20160 20280 21294 21840 22464 22815 23660 24336 24570 26208 27040 28080 28392 29120 30240 30420 31941 32448 32760 35490 36504 37440 37856 39312 40560 42588 43680 45630 47320 48672 49140 52416 53235 54080 56160 56784 60480 60840 63882 65520 70980 73008 75712 78624 81120 85176 87360 91260 94640 97344 98280 106470 112320 113568 121680 127764 131040 141960 146016 157248 159705 162240 170352 182520 189280 196560 212940 227136 243360 255528 262080 283920 292032 319410 340704 365040 378560 393120 425880 486720 511056 567840 638820 681408 730080 786240 851760 1022112 1135680 1277640 1460160 1703520 2044224 2555280 3407040 5110560 10221120
- Sum of all divisors σ(n): 44622720
- Sum of proper divisors (its aliquot sum) s(n): 34401600
- 10221120 is an abundant number, because the sum of its proper divisors (34401600) is greater than itself. Its abundance is 24180480
Bases of 10221120
- Binary: 1001101111110110010000002
- Hexadecimal: 0x9BF640
- Base-36: 632O0
Squares and roots of 10221120
- 10221120 squared (102211202) is 104471294054400
- 10221120 cubed (102211203) is 1067813633085308928000
-
The
square root of 10221120 is 3197.0486389793 -
The
cube root of 10221120 is 217.0198683557
Scales and comparisons
How big is 10221120?- 10,221,120 seconds is equal to 16 weeks, 6 days, 7 hours, 12 minutes.
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To count from 1 to 10,221,120 would take you about twenty-five weeks!
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 10221120 cubic inches would be around 18.1 feet tall.
Recreational maths with 10221120
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