13006224
13,006,224 is an even composite number composed of six prime numbers multiplied together.
13006224 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 13006224:
24 × 33 × 7 × 11 × 17 × 23
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 17 × 23)See below for interesting mathematical facts about the number 13006224 from the Numbermatics database.
Names of 13006224
- Cardinal: 13006224 can be written as Thirteen million, six thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.3006224 × 107
Factors of 13006224
Divisors of 13006224
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 23 24 27 28 33 34 36 42 44 46 48 51 54 56 63 66 68 69 72 77 84 88 92 99 102 108 112 119 126 132 136 138 144 153 154 161 168 176 184 187 189 198 204 207 216 231 238 252 253 264 272 276 297 306 308 322 336 357 368 374 378 391 396 408 414 432 459 462 476 483 504 506 528 552 561 594 612 616 621 644 693 714 748 756 759 782 792 816 828 918 924 952 966 1008 1012 1071 1104 1122 1173 1188 1224 1232 1242 1288 1309 1386 1428 1449 1496 1512 1518 1564 1584 1656 1683 1771 1836 1848 1904 1932 2024 2079 2142 2244 2277 2346 2376 2448 2484 2576 2618 2737 2772 2856 2898 2992 3024 3036 3128 3213 3312 3366 3519 3542 3672 3696 3864 3927 4048 4158 4284 4301 4347 4488 4554 4692 4752 4968 5049 5236 5313 5474 5544 5712 5796 6072 6256 6426 6732 6831 7038 7084 7344 7728 7854 8211 8316 8568 8602 8694 8976 9108 9384 9936 10098 10472 10557 10626 10948 11088 11592 11781 12144 12852 12903 13464 13662 14076 14168 15708 15939 16422 16632 17136 17204 17388 18216 18768 20196 20944 21114 21252 21896 23184 23562 24633 25704 25806 26928 27324 28152 28336 30107 31416 31878 32844 33264 34408 34776 35343 36432 38709 40392 42228 42504 43792 47124 47817 49266 51408 51612 54648 56304 60214 62832 63756 65688 68816 69552 70686 73899 77418 80784 84456 85008 90321 94248 95634 98532 103224 109296 116127 120428 127512 131376 141372 147798 154836 168912 180642 188496 191268 197064 206448 232254 240856 255024 270963 282744 295596 309672 361284 382536 394128 464508 481712 541926 565488 591192 619344 722568 765072 812889 929016 1083852 1182384 1445136 1625778 1858032 2167704 3251556 4335408 6503112 13006224
- Sum of all divisors σ(n): 51425280
- Sum of proper divisors (its aliquot sum) s(n): 38419056
- 13006224 is an abundant number, because the sum of its proper divisors (38419056) is greater than itself. Its abundance is 25412832
Bases of 13006224
- Binary: 1100011001110101100100002
- Hexadecimal: 0xC67590
- Base-36: 7QRO0
Squares and roots of 13006224
- 13006224 squared (130062242) is 169161862738176
- 13006224 cubed (130062243) is 2200157079029970407424
-
The
square root of 13006224 is 3606.4142856859 -
The
cube root of 13006224 is 235.1709876751
Scales and comparisons
How big is 13006224?- 13,006,224 seconds is equal to 21 weeks, 3 days, 12 hours, 50 minutes, 24 seconds.
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To count from 1 to 13,006,224 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 13006224 cubic inches would be around 19.6 feet tall.
Recreational maths with 13006224
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