120748320
120,748,320 is an even composite number composed of five prime numbers multiplied together.
120748320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 120748320:
25 × 34 × 5 × 7 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 11)See below for interesting mathematical facts about the number 120748320 from the Numbermatics database.
Names of 120748320
- Cardinal: 120748320 can be written as One hundred twenty million, seven hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2074832 × 108
Factors of 120748320
Divisors of 120748320
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 121 126 132 135 140 144 154 160 162 165 168 176 180 189 198 210 216 220 224 231 240 242 252 264 270 280 288 297 308 315 324 330 336 352 360 363 378 385 396 405 420 432 440 462 480 484 495 504 528 540 560 567 594 605 616 630 648 660 672 693 720 726 756 770 792 810 840 847 864 880 891 924 945 968 990 1008 1056 1080 1089 1120 1134 1155 1188 1210 1232 1260 1296 1320 1331 1386 1440 1452 1485 1512 1540 1584 1620 1680 1694 1760 1782 1815 1848 1890 1936 1980 2016 2079 2160 2178 2268 2310 2376 2420 2464 2520 2541 2592 2640 2662 2772 2835 2904 2970 3024 3080 3168 3240 3267 3360 3388 3465 3564 3630 3696 3780 3872 3960 3993 4158 4235 4320 4356 4455 4536 4620 4752 4840 5040 5082 5280 5324 5445 5544 5670 5808 5940 6048 6160 6237 6480 6534 6655 6776 6930 7128 7260 7392 7560 7623 7920 7986 8316 8470 8712 8910 9072 9240 9317 9504 9680 9801 10080 10164 10395 10648 10890 11088 11340 11616 11880 11979 12320 12474 12705 12960 13068 13310 13552 13860 14256 14520 15120 15246 15840 15972 16335 16632 16940 17424 17820 18144 18480 18634 19360 19602 19965 20328 20790 21296 21780 22176 22680 22869 23760 23958 24948 25410 26136 26620 27104 27720 27951 28512 29040 30240 30492 31185 31944 32670 33264 33880 34848 35640 35937 36960 37268 38115 39204 39930 40656 41580 42592 43560 45360 45738 46585 47520 47916 49005 49896 50820 52272 53240 55440 55902 58080 59895 60984 62370 63888 65340 66528 67760 68607 71280 71874 74536 76230 78408 79860 81312 83160 83853 87120 90720 91476 93170 95832 98010 99792 101640 104544 106480 107811 110880 111804 114345 119790 121968 124740 127776 130680 135520 137214 139755 142560 143748 149072 152460 156816 159720 166320 167706 174240 179685 182952 186340 191664 196020 199584 203280 212960 215622 223608 228690 239580 243936 249480 251559 261360 274428 279510 287496 298144 304920 313632 319440 332640 335412 343035 359370 365904 372680 383328 392040 406560 419265 431244 447216 457380 479160 498960 503118 522720 539055 548856 559020 574992 609840 638880 670824 686070 718740 731808 745360 754677 784080 838530 862488 894432 914760 958320 997920 1006236 1078110 1097712 1118040 1149984 1219680 1257795 1341648 1372140 1437480 1490720 1509354 1568160 1677060 1724976 1829520 1916640 2012472 2156220 2195424 2236080 2515590 2683296 2744280 2874960 3018708 3354120 3449952 3659040 3773385 4024944 4312440 4472160 5031180 5488560 5749920 6037416 6708240 7546770 8049888 8624880 10062360 10977120 12074832 13416480 15093540 17249760 20124720 24149664 30187080 40249440 60374160 120748320
- Sum of all divisors σ(n): 535683456
- Sum of proper divisors (its aliquot sum) s(n): 414935136
- 120748320 is an abundant number, because the sum of its proper divisors (414935136) is greater than itself. Its abundance is 294186816
Bases of 120748320
- Binary: 1110011001001111001001000002
- Hexadecimal: 0x7327920
- Base-36: 1ZW200
Squares and roots of 120748320
- 120748320 squared (1207483202) is 14580156782822400
- 120748320 cubed (1207483203) is 1760529436862409658368000
-
The
square root of 120748320 is 10988.5540450051 -
The
cube root of 120748320 is 494.2655775563
Scales and comparisons
How big is 120748320?- 120,748,320 seconds is equal to 3 years, 43 weeks, 4 days, 13 hours, 12 minutes.
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To count from 1 to 120,748,320 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 120748320 cubic inches would be around 41.2 feet tall.
Recreational maths with 120748320
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