6829920
6,829,920 is an even composite number composed of five prime numbers multiplied together.
6829920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 6829920:
25 × 34 × 5 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 31)See below for interesting mathematical facts about the number 6829920 from the Numbermatics database.
Names of 6829920
- Cardinal: 6829920 can be written as Six million, eight hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.82992 × 106
Factors of 6829920
Divisors of 6829920
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 40 45 48 51 54 60 62 68 72 80 81 85 90 93 96 102 108 120 124 135 136 144 153 155 160 162 170 180 186 204 216 240 248 255 270 272 279 288 306 310 324 340 360 372 405 408 432 459 465 480 496 510 527 540 544 558 612 620 648 680 720 744 765 810 816 837 864 918 930 992 1020 1054 1080 1116 1224 1240 1296 1360 1377 1395 1440 1488 1530 1581 1620 1632 1674 1836 1860 2040 2108 2160 2232 2295 2448 2480 2511 2592 2635 2720 2754 2790 2976 3060 3162 3240 3348 3672 3720 4080 4185 4216 4320 4464 4590 4743 4896 4960 5022 5270 5508 5580 6120 6324 6480 6696 6885 7344 7440 7905 8160 8370 8432 8928 9180 9486 10044 10540 11016 11160 12240 12555 12648 12960 13392 13770 14229 14688 14880 15810 16740 16864 18360 18972 20088 21080 22032 22320 23715 24480 25110 25296 26784 27540 28458 31620 33480 36720 37944 40176 42160 42687 44064 44640 47430 50220 50592 55080 56916 63240 66960 71145 73440 75888 80352 84320 85374 94860 100440 110160 113832 126480 133920 142290 151776 170748 189720 200880 213435 220320 227664 252960 284580 341496 379440 401760 426870 455328 569160 682992 758880 853740 1138320 1365984 1707480 2276640 3414960 6829920
- Sum of all divisors σ(n): 26345088
- Sum of proper divisors (its aliquot sum) s(n): 19515168
- 6829920 is an abundant number, because the sum of its proper divisors (19515168) is greater than itself. Its abundance is 12685248
Bases of 6829920
- Binary: 110100000110111011000002
- Hexadecimal: 0x683760
- Base-36: 42E00
Squares and roots of 6829920
- 6829920 squared (68299202) is 46647807206400
- 6829920 cubed (68299203) is 318600791395135488000
-
The
square root of 6829920 is 2613.4115634549 -
The
cube root of 6829920 is 189.7311062443
Scales and comparisons
How big is 6829920?- 6,829,920 seconds is equal to 11 weeks, 2 days, 1 hour, 12 minutes.
-
To count from 1 to 6,829,920 would take you about sixteen 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 6829920 cubic inches would be around 15.8 feet tall.
Recreational maths with 6829920
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