13689984
13,689,984 is an even composite number composed of five prime numbers multiplied together.
13689984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 13689984:
27 × 3 × 7 × 11 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 463)See below for interesting mathematical facts about the number 13689984 from the Numbermatics database.
Names of 13689984
- Cardinal: 13689984 can be written as Thirteen million, six hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3689984 × 107
Factors of 13689984
Divisors of 13689984
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 463 528 616 672 704 896 924 926 1056 1232 1344 1389 1408 1848 1852 2112 2464 2688 2778 3241 3696 3704 4224 4928 5093 5556 6482 7392 7408 9723 9856 10186 11112 12964 14784 14816 15279 19446 20372 22224 25928 29568 29632 30558 35651 38892 40744 44448 51856 59264 61116 71302 77784 81488 88896 103712 106953 122232 142604 155568 162976 177792 207424 213906 244464 285208 311136 325952 414848 427812 488928 570416 622272 651904 855624 977856 1140832 1244544 1711248 1955712 2281664 3422496 4563328 6844992 13689984
- Sum of all divisors σ(n): 45434880
- Sum of proper divisors (its aliquot sum) s(n): 31744896
- 13689984 is an abundant number, because the sum of its proper divisors (31744896) is greater than itself. Its abundance is 18054912
Bases of 13689984
- Binary: 1101000011100100100000002
- Hexadecimal: 0xD0E480
- Base-36: 85F9C
Squares and roots of 13689984
- 13689984 squared (136899842) is 187415661920256
- 13689984 cubed (136899843) is 2565717413037713915904
-
The
square root of 13689984 is 3699.9978378373 -
The
cube root of 13689984 is 239.2219246653
Scales and comparisons
How big is 13689984?- 13,689,984 seconds is equal to 22 weeks, 4 days, 10 hours, 46 minutes, 24 seconds.
-
To count from 1 to 13,689,984 would take you about thirty-three 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 13689984 cubic inches would be around 19.9 feet tall.
Recreational maths with 13689984
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