13166400
13,166,400 is an even composite number composed of five prime numbers multiplied together.
13166400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 13166400:
26 × 3 × 52 × 13 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 211)See below for interesting mathematical facts about the number 13166400 from the Numbermatics database.
Names of 13166400
- Cardinal: 13166400 can be written as Thirteen million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31664 × 107
Factors of 13166400
Divisors of 13166400
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 130 150 156 160 192 195 200 208 211 240 260 300 312 320 325 390 400 416 422 480 520 600 624 633 650 780 800 832 844 960 975 1040 1055 1200 1248 1266 1300 1560 1600 1688 1950 2080 2110 2400 2496 2532 2600 2743 3120 3165 3376 3900 4160 4220 4800 5064 5200 5275 5486 6240 6330 6752 7800 8229 8440 10128 10400 10550 10972 12480 12660 13504 13715 15600 15825 16458 16880 20256 20800 21100 21944 25320 27430 31200 31650 32916 33760 40512 41145 42200 43888 50640 54860 62400 63300 65832 67520 68575 82290 84400 87776 101280 109720 126600 131664 137150 164580 168800 175552 202560 205725 219440 253200 263328 274300 329160 337600 411450 438880 506400 526656 548600 658320 822900 877760 1012800 1097200 1316640 1645800 2194400 2633280 3291600 4388800 6583200 13166400
- Sum of all divisors σ(n): 46740064
- Sum of proper divisors (its aliquot sum) s(n): 33573664
- 13166400 is an abundant number, because the sum of its proper divisors (33573664) is greater than itself. Its abundance is 20407264
Bases of 13166400
- Binary: 1100100011100111010000002
- Hexadecimal: 0xC8E740
- Base-36: 7U79C
Squares and roots of 13166400
- 13166400 squared (131664002) is 173354088960000
- 13166400 cubed (131664003) is 2282449276882944000000
-
The
square root of 13166400 is 3628.5534307765 -
The
cube root of 13166400 is 236.1324546129
Scales and comparisons
How big is 13166400?- 13,166,400 seconds is equal to 21 weeks, 5 days, 9 hours, 20 minutes.
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To count from 1 to 13,166,400 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 13166400 cubic inches would be around 19.7 feet tall.
Recreational maths with 13166400
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