13164800
13,164,800 is an even composite number composed of four prime numbers multiplied together.
13164800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 13164800:
28 × 52 × 112 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 17)See below for interesting mathematical facts about the number 13164800 from the Numbermatics database.
Names of 13164800
- Cardinal: 13164800 can be written as Thirteen million, one hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31648 × 107
Factors of 13164800
Divisors of 13164800
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 121 128 136 160 170 176 187 200 220 242 256 272 275 320 340 352 374 400 425 440 484 544 550 605 640 680 704 748 800 850 880 935 968 1088 1100 1210 1280 1360 1408 1496 1600 1700 1760 1870 1936 2057 2176 2200 2420 2720 2816 2992 3025 3200 3400 3520 3740 3872 4114 4352 4400 4675 4840 5440 5984 6050 6400 6800 7040 7480 7744 8228 8800 9350 9680 10285 10880 11968 12100 13600 14080 14960 15488 16456 17600 18700 19360 20570 21760 23936 24200 27200 29920 30976 32912 35200 37400 38720 41140 47872 48400 51425 54400 59840 65824 70400 74800 77440 82280 96800 102850 108800 119680 131648 149600 154880 164560 193600 205700 239360 263296 299200 329120 387200 411400 526592 598400 658240 774400 822800 1196800 1316480 1645600 2632960 3291200 6582400 13164800
- Sum of all divisors σ(n): 37923354
- Sum of proper divisors (its aliquot sum) s(n): 24758554
- 13164800 is an abundant number, because the sum of its proper divisors (24758554) is greater than itself. Its abundance is 11593754
Bases of 13164800
- Binary: 1100100011100001000000002
- Hexadecimal: 0xC8E100
- Base-36: 7U60W
Squares and roots of 13164800
- 13164800 squared (131648002) is 173311959040000
- 13164800 cubed (131648003) is 2281617278369792000000
-
The
square root of 13164800 is 3628.3329505435 -
The
cube root of 13164800 is 236.1228891729
Scales and comparisons
How big is 13164800?- 13,164,800 seconds is equal to 21 weeks, 5 days, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 13,164,800 would take you about thirty-two 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 13164800 cubic inches would be around 19.7 feet tall.
Recreational maths with 13164800
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