120516480
120,516,480 is an even composite number composed of five prime numbers multiplied together.
120516480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 120516480:
27 × 32 × 5 × 73 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 61)See below for interesting mathematical facts about the number 120516480 from the Numbermatics database.
Names of 120516480
- Cardinal: 120516480 can be written as One hundred twenty million, five hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.2051648 × 108
Factors of 120516480
Divisors of 120516480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 61 63 64 70 72 80 84 90 96 98 105 112 120 122 126 128 140 144 147 160 168 180 183 192 196 210 224 240 244 245 252 280 288 294 305 315 320 336 343 360 366 384 392 420 427 441 448 480 488 490 504 549 560 576 588 610 630 640 672 686 720 732 735 784 840 854 882 896 915 960 976 980 1008 1029 1098 1120 1152 1176 1220 1260 1281 1344 1372 1440 1464 1470 1568 1680 1708 1715 1764 1830 1920 1952 1960 2016 2058 2135 2196 2205 2240 2352 2440 2520 2562 2688 2744 2745 2880 2928 2940 2989 3087 3136 3360 3416 3430 3528 3660 3843 3904 3920 4032 4116 4270 4392 4410 4480 4704 4880 5040 5124 5145 5488 5490 5760 5856 5880 5978 6174 6272 6405 6720 6832 6860 7056 7320 7686 7808 7840 8064 8232 8540 8784 8820 8967 9408 9760 10080 10248 10290 10976 10980 11712 11760 11956 12348 12810 13440 13664 13720 14112 14640 14945 15372 15435 15680 16464 17080 17568 17640 17934 18816 19215 19520 20160 20496 20580 20923 21952 21960 23424 23520 23912 24696 25620 26901 27328 27440 28224 29280 29890 30744 30870 31360 32928 34160 35136 35280 35868 38430 39040 40320 40992 41160 41846 43904 43920 44835 47040 47824 49392 51240 53802 54656 54880 56448 58560 59780 61488 61740 62769 65856 68320 70272 70560 71736 76860 81984 82320 83692 87840 89670 94080 95648 98784 102480 104615 107604 109760 117120 119560 122976 123480 125538 131712 134505 136640 141120 143472 153720 163968 164640 167384 175680 179340 188307 191296 197568 204960 209230 215208 219520 239120 245952 246960 251076 269010 273280 282240 286944 307440 313845 329280 334768 351360 358680 376614 382592 395136 409920 418460 430416 478240 491904 493920 502152 538020 573888 614880 627690 658560 669536 717360 753228 819840 836920 860832 941535 956480 987840 1004304 1076040 1147776 1229760 1255380 1339072 1434720 1506456 1673840 1721664 1883070 1912960 1975680 2008608 2152080 2459520 2510760 2678144 2869440 3012912 3347680 3443328 3766140 4017216 4304160 5021520 5738880 6025824 6695360 7532280 8034432 8608320 10043040 12051648 13390720 15064560 17216640 20086080 24103296 30129120 40172160 60258240 120516480
- Sum of all divisors σ(n): 493272000
- Sum of proper divisors (its aliquot sum) s(n): 372755520
- 120516480 is an abundant number, because the sum of its proper divisors (372755520) is greater than itself. Its abundance is 252239040
Bases of 120516480
- Binary: 1110010111011101111100000002
- Hexadecimal: 0x72EEF80
- Base-36: 1ZR340
Squares and roots of 120516480
- 120516480 squared (1205164802) is 14524221951590400
- 120516480 cubed (1205164803) is 1750408104344405409792000
-
The
square root of 120516480 is 10977.9998178175 -
The
cube root of 120516480 is 493.9490405125
Scales and comparisons
How big is 120516480?- 120,516,480 seconds is equal to 3 years, 43 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 120,516,480 would take you about five 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 120516480 cubic inches would be around 41.2 feet tall.
Recreational maths with 120516480
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