11968320
11,968,320 is an even composite number composed of six prime numbers multiplied together.
11968320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 11968320:
26 × 3 × 5 × 7 × 13 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 137)See below for interesting mathematical facts about the number 11968320 from the Numbermatics database.
Names of 11968320
- Cardinal: 11968320 can be written as Eleven million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.196832 × 107
Factors of 11968320
Divisors of 11968320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 130 137 140 156 160 168 182 192 195 208 210 224 240 260 273 274 280 312 320 336 364 390 411 416 420 448 455 480 520 546 548 560 624 672 685 728 780 822 832 840 910 959 960 1040 1092 1096 1120 1248 1344 1365 1370 1456 1560 1644 1680 1781 1820 1918 2055 2080 2184 2192 2240 2496 2730 2740 2877 2912 3120 3288 3360 3562 3640 3836 4110 4160 4368 4384 4795 5343 5460 5480 5754 5824 6240 6576 6720 7124 7280 7672 8220 8736 8768 8905 9590 10686 10920 10960 11508 12467 12480 13152 14248 14385 14560 15344 16440 17472 17810 19180 21372 21840 21920 23016 24934 26304 26715 28496 28770 29120 30688 32880 35620 37401 38360 42744 43680 43840 46032 49868 53430 56992 57540 61376 62335 65760 71240 74802 76720 85488 87360 92064 99736 106860 113984 115080 124670 131520 142480 149604 153440 170976 184128 187005 199472 213720 230160 249340 284960 299208 306880 341952 374010 398944 427440 460320 498680 569920 598416 748020 797888 854880 920640 997360 1196832 1496040 1709760 1994720 2393664 2992080 3989440 5984160 11968320
- Sum of all divisors σ(n): 47109888
- Sum of proper divisors (its aliquot sum) s(n): 35141568
- 11968320 is an abundant number, because the sum of its proper divisors (35141568) is greater than itself. Its abundance is 23173248
Bases of 11968320
- Binary: 1011011010011111010000002
- Hexadecimal: 0xB69F40
- Base-36: 74ITC
Squares and roots of 11968320
- 11968320 squared (119683202) is 143240683622400
- 11968320 cubed (119683203) is 1714350338611642368000
-
The
square root of 11968320 is 3459.5259790901 -
The
cube root of 11968320 is 228.7412012501
Scales and comparisons
How big is 11968320?- 11,968,320 seconds is equal to 19 weeks, 5 days, 12 hours, 32 minutes.
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To count from 1 to 11,968,320 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 11968320 cubic inches would be around 19.1 feet tall.
Recreational maths with 11968320
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The information we have on file for 11968320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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