13238820
13,238,820 is an even composite number composed of six prime numbers multiplied together.
13238820 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13238820:
22 × 32 × 5 × 72 × 19 × 79
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 79)See below for interesting mathematical facts about the number 13238820 from the Numbermatics database.
Names of 13238820
- Cardinal: 13238820 can be written as Thirteen million, two hundred thirty-eight thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.323882 × 107
Factors of 13238820
Divisors of 13238820
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 49 57 60 63 70 76 79 84 90 95 98 105 114 126 133 140 147 158 171 180 190 196 210 228 237 245 252 266 285 294 315 316 342 380 395 399 420 441 474 490 532 553 570 588 630 665 684 711 735 790 798 855 882 931 948 980 1106 1140 1185 1197 1260 1330 1422 1470 1501 1580 1596 1659 1710 1764 1862 1995 2205 2212 2370 2394 2660 2765 2793 2844 2940 3002 3318 3420 3555 3724 3871 3990 4410 4503 4655 4740 4788 4977 5530 5586 5985 6004 6636 7110 7505 7742 7980 8295 8379 8820 9006 9310 9954 10507 11060 11172 11613 11970 13509 13965 14220 15010 15484 16590 16758 18012 18620 19355 19908 21014 22515 23226 23940 24885 27018 27930 30020 31521 33180 33516 34839 38710 41895 42028 45030 46452 49770 52535 54036 55860 58065 63042 67545 69678 73549 77420 83790 90060 94563 99540 105070 116130 126084 135090 139356 147098 157605 167580 174195 189126 210140 220647 232260 270180 294196 315210 348390 367745 378252 441294 472815 630420 661941 696780 735490 882588 945630 1103235 1323882 1470980 1891260 2206470 2647764 3309705 4412940 6619410 13238820
- Sum of all divisors σ(n): 49795200
- Sum of proper divisors (its aliquot sum) s(n): 36556380
- 13238820 is an abundant number, because the sum of its proper divisors (36556380) is greater than itself. Its abundance is 23317560
Bases of 13238820
- Binary: 1100101000000010001001002
- Hexadecimal: 0xCA0224
- Base-36: 7VR50
Squares and roots of 13238820
- 13238820 squared (132388202) is 175266354992400
- 13238820 cubed (132388203) is 2320319725800484968000
-
The
square root of 13238820 is 3638.5189294547 -
The
cube root of 13238820 is 236.5646014523
Scales and comparisons
How big is 13238820?- 13,238,820 seconds is equal to 21 weeks, 6 days, 5 hours, 27 minutes.
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To count from 1 to 13,238,820 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 13238820 cubic inches would be around 19.7 feet tall.
Recreational maths with 13238820
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