54001920
54,001,920 is an even composite number composed of five prime numbers multiplied together.
54001920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 54001920:
28 × 3 × 5 × 73 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 41)See below for interesting mathematical facts about the number 54001920 from the Numbermatics database.
Names of 54001920
- Cardinal: 54001920 can be written as Fifty-four million, one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 5.400192 × 107
Factors of 54001920
Divisors of 54001920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 49 56 60 64 70 80 82 84 96 98 105 112 120 123 128 140 147 160 164 168 192 196 205 210 224 240 245 246 256 280 287 294 320 328 336 343 384 392 410 420 448 480 490 492 560 574 588 615 640 656 672 686 735 768 784 820 840 861 896 960 980 984 1029 1120 1148 1176 1230 1280 1312 1344 1372 1435 1470 1568 1640 1680 1715 1722 1792 1920 1960 1968 2009 2058 2240 2296 2352 2460 2624 2688 2744 2870 2940 3136 3280 3360 3430 3444 3840 3920 3936 4018 4116 4305 4480 4592 4704 4920 5145 5248 5376 5488 5740 5880 6027 6272 6560 6720 6860 6888 7840 7872 8036 8232 8610 8960 9184 9408 9840 10045 10290 10496 10976 11480 11760 12054 12544 13120 13440 13720 13776 14063 15680 15744 16072 16464 17220 18368 18816 19680 20090 20580 21952 22960 23520 24108 26240 26880 27440 27552 28126 30135 31360 31488 32144 32928 34440 36736 37632 39360 40180 41160 42189 43904 45920 47040 48216 52480 54880 55104 56252 60270 62720 64288 65856 68880 70315 73472 78720 80360 82320 84378 87808 91840 94080 96432 109760 110208 112504 120540 128576 131712 137760 140630 157440 160720 164640 168756 183680 188160 192864 210945 219520 220416 225008 241080 257152 263424 275520 281260 321440 329280 337512 367360 385728 421890 439040 450016 482160 514304 551040 562520 642880 658560 675024 771456 843780 900032 964320 1102080 1125040 1285760 1317120 1350048 1542912 1687560 1800064 1928640 2250080 2571520 2700096 3375120 3600128 3857280 4500160 5400192 6750240 7714560 9000320 10800384 13500480 18000640 27000960 54001920
- Sum of all divisors σ(n): 206035200
- Sum of proper divisors (its aliquot sum) s(n): 152033280
- 54001920 is an abundant number, because the sum of its proper divisors (152033280) is greater than itself. Its abundance is 98031360
Bases of 54001920
- Binary: 110011100000000001000000002
- Hexadecimal: 0x3380100
- Base-36: W5G5C
Squares and roots of 54001920
- 54001920 squared (540019202) is 2916207363686400
- 54001920 cubed (540019203) is 157480796757203877888000
-
The
square root of 54001920 is 7348.5998666413 -
The
cube root of 54001920 is 377.9807946345
Scales and comparisons
How big is 54001920?- 54,001,920 seconds is equal to 1 year, 37 weeks, 2 days, 32 minutes.
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To count from 1 to 54,001,920 would take you about two 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 54001920 cubic inches would be around 31.5 feet tall.
Recreational maths with 54001920
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