12986688
12,986,688 is an even composite number composed of five prime numbers multiplied together.
12986688 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 12986688:
26 × 3 × 112 × 13 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 43)See below for interesting mathematical facts about the number 12986688 from the Numbermatics database.
Names of 12986688
- Cardinal: 12986688 can be written as Twelve million, nine hundred eighty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.2986688 × 107
Factors of 12986688
Divisors of 12986688
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 43 44 48 52 64 66 78 86 88 96 104 121 129 132 143 156 172 176 192 208 242 258 264 286 312 344 352 363 416 429 473 484 516 528 559 572 624 688 704 726 832 858 946 968 1032 1056 1118 1144 1248 1376 1419 1452 1573 1677 1716 1892 1936 2064 2112 2236 2288 2496 2752 2838 2904 3146 3354 3432 3784 3872 4128 4472 4576 4719 5203 5676 5808 6149 6292 6708 6864 7568 7744 8256 8944 9152 9438 10406 11352 11616 12298 12584 13416 13728 15136 15609 17888 18447 18876 20812 22704 23232 24596 25168 26832 27456 30272 31218 35776 36894 37752 41624 45408 49192 50336 53664 62436 67639 73788 75504 83248 90816 98384 100672 107328 124872 135278 147576 151008 166496 196768 202917 249744 270556 295152 302016 332992 393536 405834 499488 541112 590304 811668 998976 1082224 1180608 1623336 2164448 3246672 4328896 6493344 12986688
- Sum of all divisors σ(n): 41619424
- Sum of proper divisors (its aliquot sum) s(n): 28632736
- 12986688 is an abundant number, because the sum of its proper divisors (28632736) is greater than itself. Its abundance is 15646048
Bases of 12986688
- Binary: 1100011000101001010000002
- Hexadecimal: 0xC62940
- Base-36: 7QCLC
Squares and roots of 12986688
- 12986688 squared (129866882) is 168654065209344
- 12986688 cubed (129866883) is 2190257724805405212672
-
The
square root of 12986688 is 3603.7047603821 -
The
cube root of 12986688 is 235.0531824707
Scales and comparisons
How big is 12986688?- 12,986,688 seconds is equal to 21 weeks, 3 days, 7 hours, 24 minutes, 48 seconds.
-
To count from 1 to 12,986,688 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 12986688 cubic inches would be around 19.6 feet tall.
Recreational maths with 12986688
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