13385120
13,385,120 is an even composite number composed of six prime numbers multiplied together.
13385120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13385120:
25 × 5 × 7 × 17 × 19 × 37
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 19 × 37)See below for interesting mathematical facts about the number 13385120 from the Numbermatics database.
Names of 13385120
- Cardinal: 13385120 can be written as Thirteen million, three hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.338512 × 107
Factors of 13385120
Divisors of 13385120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 28 32 34 35 37 38 40 56 68 70 74 76 80 85 95 112 119 133 136 140 148 152 160 170 185 190 224 238 259 266 272 280 296 304 323 340 370 380 476 518 532 544 560 592 595 608 629 646 665 680 703 740 760 952 1036 1064 1120 1184 1190 1258 1292 1295 1330 1360 1406 1480 1520 1615 1904 2072 2128 2261 2380 2516 2584 2590 2660 2720 2812 2960 3040 3145 3230 3515 3808 4144 4256 4403 4522 4760 4921 5032 5168 5180 5320 5624 5920 6290 6460 7030 8288 8806 9044 9520 9842 10064 10336 10360 10640 11248 11305 11951 12580 12920 14060 17612 18088 19040 19684 20128 20720 21280 22015 22496 22610 23902 24605 25160 25840 28120 35224 36176 39368 41440 44030 45220 47804 49210 50320 51680 56240 59755 70448 72352 78736 83657 88060 90440 95608 98420 100640 112480 119510 140896 157472 167314 176120 180880 191216 196840 239020 334628 352240 361760 382432 393680 418285 478040 669256 704480 787360 836570 956080 1338512 1673140 1912160 2677024 3346280 6692560 13385120
- Sum of all divisors σ(n): 41368320
- Sum of proper divisors (its aliquot sum) s(n): 27983200
- 13385120 is an abundant number, because the sum of its proper divisors (27983200) is greater than itself. Its abundance is 14598080
Bases of 13385120
- Binary: 1100110000111101101000002
- Hexadecimal: 0xCC3DA0
- Base-36: 7YW0W
Squares and roots of 13385120
- 13385120 squared (133851202) is 179161437414400
- 13385120 cubed (133851203) is 2398097339164233728000
-
The
square root of 13385120 is 3658.5680258811 -
The
cube root of 13385120 is 237.4328231061
Scales and comparisons
How big is 13385120?- 13,385,120 seconds is equal to 22 weeks, 22 hours, 5 minutes, 20 seconds.
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To count from 1 to 13,385,120 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 13385120 cubic inches would be around 19.8 feet tall.
Recreational maths with 13385120
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