96988320
96,988,320 is an even composite number composed of six prime numbers multiplied together.
96988320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 96988320:
25 × 33 × 5 × 11 × 13 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 157)See below for interesting mathematical facts about the number 96988320 from the Numbermatics database.
Names of 96988320
- Cardinal: 96988320 can be written as Ninety-six million, nine hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.698832 × 107
Factors of 96988320
Divisors of 96988320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 88 90 96 99 104 108 110 117 120 130 132 135 143 144 156 157 160 165 176 180 195 198 208 216 220 234 240 260 264 270 286 288 297 312 314 330 351 352 360 390 396 416 429 432 440 468 471 480 495 520 528 540 572 585 594 624 628 660 702 715 720 780 785 792 858 864 880 936 942 990 1040 1056 1080 1144 1170 1188 1248 1256 1287 1320 1404 1413 1430 1440 1485 1560 1570 1584 1716 1727 1755 1760 1872 1884 1980 2041 2080 2145 2160 2288 2340 2355 2376 2512 2574 2640 2808 2826 2860 2970 3120 3140 3168 3432 3454 3510 3744 3768 3861 3960 4082 4239 4290 4320 4576 4680 4710 4752 5024 5148 5181 5280 5616 5652 5720 5940 6123 6240 6280 6435 6864 6908 7020 7065 7536 7722 7920 8164 8478 8580 8635 9360 9420 9504 10205 10296 10362 11232 11304 11440 11880 12246 12560 12870 13728 13816 14040 14130 15072 15444 15543 15840 16328 16956 17160 17270 18369 18720 18840 19305 20410 20592 20724 21195 22451 22608 22880 23760 24492 25120 25740 25905 27632 28080 28260 30615 30888 31086 32656 33912 34320 34540 36738 37680 38610 40820 41184 41448 42390 44902 45216 46629 47520 48984 51480 51810 55107 55264 56160 56520 61230 61776 62172 65312 67353 67824 68640 69080 73476 75360 77220 77715 81640 82896 84780 89804 91845 93258 97968 102960 103620 110214 112255 113040 122460 123552 124344 134706 135648 138160 146952 154440 155430 163280 165792 169560 179608 183690 186516 195936 202059 205920 207240 220428 224510 226080 233145 244920 248688 269412 275535 276320 293904 308880 310860 326560 336765 339120 359216 367380 373032 404118 414480 440856 449020 466290 489840 497376 538824 551070 587808 606177 617760 621720 673530 678240 718432 734760 746064 808236 828960 881712 898040 932580 979680 1010295 1077648 1102140 1212354 1243440 1347060 1469520 1492128 1616472 1763424 1796080 1865160 2020590 2155296 2204280 2424708 2486880 2694120 2939040 3030885 3232944 3592160 3730320 4041180 4408560 4849416 5388240 6061770 6465888 7460640 8082360 8817120 9698832 10776480 12123540 16164720 19397664 24247080 32329440 48494160 96988320
- Sum of all divisors σ(n): 401345280
- Sum of proper divisors (its aliquot sum) s(n): 304356960
- 96988320 is an abundant number, because the sum of its proper divisors (304356960) is greater than itself. Its abundance is 207368640
Bases of 96988320
- Binary: 1011100011111101100101000002
- Hexadecimal: 0x5C7ECA0
- Base-36: 1LQSO0
Squares and roots of 96988320
- 96988320 squared (969883202) is 9406734216422400
- 96988320 cubed (969883203) is 912343348337324986368000
-
The
square root of 96988320 is 9848.2648217847 -
The
cube root of 96988320 is 459.4516465195
Scales and comparisons
How big is 96988320?- 96,988,320 seconds is equal to 3 years, 4 weeks, 2 days, 13 hours, 12 minutes.
-
To count from 1 to 96,988,320 would take you about four 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 96988320 cubic inches would be around 38.3 feet tall.
Recreational maths with 96988320
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