11880960
11,880,960 is an even composite number composed of six prime numbers multiplied together.
11880960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 11880960:
29 × 3 × 5 × 7 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 17)See below for interesting mathematical facts about the number 11880960 from the Numbermatics database.
Names of 11880960
- Cardinal: 11880960 can be written as Eleven million, eight hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.188096 × 107
Factors of 11880960
Divisors of 11880960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 56 60 64 65 68 70 78 80 84 85 91 96 102 104 105 112 119 120 128 130 136 140 156 160 168 170 182 192 195 204 208 210 221 224 238 240 255 256 260 272 273 280 312 320 336 340 357 364 384 390 408 416 420 442 448 455 476 480 510 512 520 544 546 560 595 624 640 663 672 680 714 728 768 780 816 832 840 884 896 910 952 960 1020 1040 1088 1092 1105 1120 1190 1248 1280 1326 1344 1360 1365 1428 1456 1536 1547 1560 1632 1664 1680 1768 1785 1792 1820 1904 1920 2040 2080 2176 2184 2210 2240 2380 2496 2560 2652 2688 2720 2730 2856 2912 3094 3120 3264 3315 3328 3360 3536 3570 3584 3640 3808 3840 4080 4160 4352 4368 4420 4480 4641 4760 4992 5304 5376 5440 5460 5712 5824 6188 6240 6528 6630 6656 6720 7072 7140 7280 7616 7680 7735 8160 8320 8704 8736 8840 8960 9282 9520 9984 10608 10752 10880 10920 11424 11648 12376 12480 13056 13260 13440 14144 14280 14560 15232 15470 16320 16640 17472 17680 17920 18564 19040 19968 21216 21760 21840 22848 23205 23296 24752 24960 26112 26520 26880 28288 28560 29120 30464 30940 32640 33280 34944 35360 37128 38080 42432 43520 43680 45696 46410 46592 49504 49920 53040 53760 56576 57120 58240 60928 61880 65280 69888 70720 74256 76160 84864 87360 91392 92820 99008 99840 106080 113152 114240 116480 123760 130560 139776 141440 148512 152320 169728 174720 182784 185640 198016 212160 228480 232960 247520 282880 297024 304640 339456 349440 371280 396032 424320 456960 495040 565760 594048 698880 742560 792064 848640 913920 990080 1188096 1485120 1697280 1980160 2376192 2970240 3960320 5940480 11880960
- Sum of all divisors σ(n): 49496832
- Sum of proper divisors (its aliquot sum) s(n): 37615872
- 11880960 is an abundant number, because the sum of its proper divisors (37615872) is greater than itself. Its abundance is 25734912
Bases of 11880960
- Binary: 1011010101001010000000002
- Hexadecimal: 0xB54A00
- Base-36: 72NEO
Squares and roots of 11880960
- 11880960 squared (118809602) is 141157210521600
- 11880960 cubed (118809603) is 1677083171918708736000
-
The
square root of 11880960 is 3446.8768472343 -
The
cube root of 11880960 is 228.1832936659
Scales and comparisons
How big is 11880960?- 11,880,960 seconds is equal to 19 weeks, 4 days, 12 hours, 16 minutes.
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To count from 1 to 11,880,960 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 11880960 cubic inches would be around 19 feet tall.
Recreational maths with 11880960
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