68006120
68,006,120 is an even composite number composed of six prime numbers multiplied together.
68006120 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 68006120:
23 × 5 × 72 × 13 × 17 × 157
(2 × 2 × 2 × 5 × 7 × 7 × 13 × 17 × 157)See below for interesting mathematical facts about the number 68006120 from the Numbermatics database.
Names of 68006120
- Cardinal: 68006120 can be written as Sixty-eight million, six thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.800612 × 107
Factors of 68006120
Divisors of 68006120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 49 52 56 65 68 70 85 91 98 104 119 130 136 140 157 170 182 196 221 238 245 260 280 314 340 364 392 442 455 476 490 520 595 628 637 680 728 785 833 884 910 952 980 1099 1105 1190 1256 1274 1547 1570 1666 1768 1820 1960 2041 2198 2210 2380 2548 2669 3094 3140 3185 3332 3640 4082 4165 4396 4420 4760 5096 5338 5495 6188 6280 6370 6664 7693 7735 8164 8330 8792 8840 10205 10676 10829 10990 12376 12740 13345 14287 15386 15470 16328 16660 18683 20410 21352 21658 21980 25480 26690 28574 30772 30940 33320 34697 37366 38465 40820 43316 43960 53380 54145 57148 61544 61880 69394 71435 74732 76930 81640 86632 93415 100009 106760 108290 114296 130781 138788 142870 149464 153860 173485 186830 200018 216580 242879 261562 277576 285740 307720 346970 373660 400036 433160 485758 500045 523124 571480 653905 693940 747320 800072 971516 1000090 1046248 1214395 1307810 1387880 1700153 1943032 2000180 2428790 2615620 3400306 4000360 4857580 5231240 6800612 8500765 9715160 13601224 17001530 34003060 68006120
- Sum of all divisors σ(n): 204256080
- Sum of proper divisors (its aliquot sum) s(n): 136249960
- 68006120 is an abundant number, because the sum of its proper divisors (136249960) is greater than itself. Its abundance is 68243840
Bases of 68006120
- Binary: 1000000110110110000111010002
- Hexadecimal: 0x40DB0E8
- Base-36: 14HLUW
Squares and roots of 68006120
- 68006120 squared (680061202) is 4624832357454400
- 68006120 cubed (680061203) is 314516904280926820928000
-
The
square root of 68006120 is 8246.5823223927 -
The
cube root of 68006120 is 408.1777547895
Scales and comparisons
How big is 68006120?- 68,006,120 seconds is equal to 2 years, 8 weeks, 3 days, 2 hours, 35 minutes, 20 seconds.
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To count from 1 to 68,006,120 would take you about three years!
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 68006120 cubic inches would be around 34 feet tall.
Recreational maths with 68006120
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