12001920
12,001,920 is an even composite number composed of six prime numbers multiplied together.
12001920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 12001920:
27 × 3 × 5 × 7 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 47)See below for interesting mathematical facts about the number 12001920 from the Numbermatics database.
Names of 12001920
- Cardinal: 12001920 can be written as Twelve million, one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.200192 × 107
Factors of 12001920
Divisors of 12001920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 47 48 56 57 60 64 70 76 80 84 94 95 96 105 112 114 120 128 133 140 141 152 160 168 188 190 192 210 224 228 235 240 266 280 282 285 304 320 329 336 376 380 384 399 420 448 456 470 480 532 560 564 570 608 640 658 665 672 705 752 760 798 840 893 896 912 940 960 987 1064 1120 1128 1140 1216 1316 1330 1344 1410 1504 1520 1596 1645 1680 1786 1824 1880 1920 1974 1995 2128 2240 2256 2280 2432 2632 2660 2679 2688 2820 3008 3040 3192 3290 3360 3572 3648 3760 3948 3990 4256 4465 4480 4512 4560 4935 5264 5320 5358 5640 6016 6080 6251 6384 6580 6720 7144 7296 7520 7896 7980 8512 8930 9024 9120 9870 10528 10640 10716 11280 12160 12502 12768 13160 13395 13440 14288 15040 15792 15960 17024 17860 18048 18240 18753 19740 21056 21280 21432 22560 25004 25536 26320 26790 28576 30080 31255 31584 31920 35720 36480 37506 39480 42112 42560 42864 45120 50008 51072 52640 53580 57152 62510 63168 63840 71440 75012 78960 85120 85728 90240 93765 100016 105280 107160 114304 125020 126336 127680 142880 150024 157920 171456 187530 200032 210560 214320 250040 255360 285760 300048 315840 342912 375060 400064 428640 500080 571520 600096 631680 750120 800128 857280 1000160 1200192 1500240 1714560 2000320 2400384 3000480 4000640 6000960 12001920
- Sum of all divisors σ(n): 47001600
- Sum of proper divisors (its aliquot sum) s(n): 34999680
- 12001920 is an abundant number, because the sum of its proper divisors (34999680) is greater than itself. Its abundance is 22997760
Bases of 12001920
- Binary: 1011011100100010100000002
- Hexadecimal: 0xB72280
- Base-36: 758QO
Squares and roots of 12001920
- 12001920 squared (120019202) is 144046083686400
- 12001920 cubed (120019203) is 1728829572717477888000
-
The
square root of 12001920 is 3464.3787321827 -
The
cube root of 12001920 is 228.9550581447
Scales and comparisons
How big is 12001920?- 12,001,920 seconds is equal to 19 weeks, 5 days, 21 hours, 52 minutes.
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To count from 1 to 12,001,920 would take you about twenty-nine 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 12001920 cubic inches would be around 19.1 feet tall.
Recreational maths with 12001920
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