13147680
13,147,680 is an even composite number composed of six prime numbers multiplied together.
13147680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13147680:
25 × 3 × 5 × 72 × 13 × 43
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 43)See below for interesting mathematical facts about the number 13147680 from the Numbermatics database.
Names of 13147680
- Cardinal: 13147680 can be written as Thirteen million, one hundred forty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.314768 × 107
Factors of 13147680
Divisors of 13147680
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 43 48 49 52 56 60 65 70 78 80 84 86 91 96 98 104 105 112 120 129 130 140 147 156 160 168 172 182 195 196 208 210 215 224 240 245 258 260 273 280 294 301 312 336 344 364 390 392 416 420 430 455 480 490 516 520 546 559 560 588 602 624 637 645 672 688 728 735 780 784 840 860 903 910 980 1032 1040 1092 1118 1120 1176 1204 1248 1274 1290 1365 1376 1456 1470 1505 1560 1568 1677 1680 1720 1806 1820 1911 1960 2064 2080 2107 2184 2236 2352 2408 2548 2580 2730 2795 2912 2940 3010 3120 3185 3354 3360 3440 3612 3640 3822 3913 3920 4128 4214 4368 4472 4515 4704 4816 5096 5160 5460 5590 5880 6020 6240 6321 6370 6708 6880 7224 7280 7644 7826 7840 8385 8428 8736 8944 9030 9555 9632 10192 10320 10535 10920 11180 11739 11760 12040 12642 12740 13416 14448 14560 15288 15652 16770 16856 17888 18060 19110 19565 20384 20640 21070 21840 22360 23478 23520 24080 25284 25480 26832 27391 28896 30576 31304 31605 33540 33712 36120 38220 39130 42140 43680 44720 46956 48160 50568 50960 53664 54782 58695 61152 62608 63210 67080 67424 72240 76440 78260 82173 84280 89440 93912 101136 101920 109564 117390 125216 126420 134160 136955 144480 152880 156520 164346 168560 187824 202272 219128 234780 252840 268320 273910 305760 313040 328692 337120 375648 410865 438256 469560 505680 547820 626080 657384 821730 876512 939120 1011360 1095640 1314768 1643460 1878240 2191280 2629536 3286920 4382560 6573840 13147680
- Sum of all divisors σ(n): 53089344
- Sum of proper divisors (its aliquot sum) s(n): 39941664
- 13147680 is an abundant number, because the sum of its proper divisors (39941664) is greater than itself. Its abundance is 26793984
Bases of 13147680
- Binary: 1100100010011110001000002
- Hexadecimal: 0xC89E20
- Base-36: 7TSTC
Squares and roots of 13147680
- 13147680 squared (131476802) is 172861489382400
- 13147680 cubed (131476803) is 2272727546723192832000
-
The
square root of 13147680 is 3625.9729728723 -
The
cube root of 13147680 is 236.0204904167
Scales and comparisons
How big is 13147680?- 13,147,680 seconds is equal to 21 weeks, 5 days, 4 hours, 8 minutes.
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To count from 1 to 13,147,680 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 13147680 cubic inches would be around 19.7 feet tall.
Recreational maths with 13147680
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