84968400
84,968,400 is an even composite number composed of six prime numbers multiplied together.
84968400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 84968400:
24 × 3 × 52 × 11 × 41 × 157
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 41 × 157)See below for interesting mathematical facts about the number 84968400 from the Numbermatics database.
Names of 84968400
- Cardinal: 84968400 can be written as Eighty-four million, nine hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.49684 × 107
Factors of 84968400
Divisors of 84968400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 41 44 48 50 55 60 66 75 80 82 88 100 110 120 123 132 150 157 164 165 176 200 205 220 240 246 264 275 300 314 328 330 400 410 440 451 471 492 528 550 600 615 628 656 660 785 820 825 880 902 942 984 1025 1100 1200 1230 1256 1320 1353 1570 1640 1650 1727 1804 1884 1968 2050 2200 2255 2355 2460 2512 2640 2706 3075 3140 3280 3300 3454 3608 3768 3925 4100 4400 4510 4710 4920 5181 5412 6150 6280 6437 6600 6765 6908 7216 7536 7850 8200 8635 9020 9420 9840 10362 10824 11275 11775 12300 12560 12874 13200 13530 13816 15700 16400 17270 18040 18840 19311 20724 21648 22550 23550 24600 25748 25905 27060 27632 31400 32185 33825 34540 36080 37680 38622 41448 43175 45100 47100 49200 51496 51810 54120 62800 64370 67650 69080 70807 77244 82896 86350 90200 94200 96555 102992 103620 108240 128740 129525 135300 138160 141614 154488 160925 172700 180400 188400 193110 207240 212421 257480 259050 270600 283228 308976 321850 345400 354035 386220 414480 424842 482775 514960 518100 541200 566456 643700 690800 708070 772440 849684 965550 1036200 1062105 1132912 1287400 1416140 1544880 1699368 1770175 1931100 2072400 2124210 2574800 2832280 3398736 3540350 3862200 4248420 5310525 5664560 7080700 7724400 8496840 10621050 14161400 16993680 21242100 28322800 42484200 84968400
- Sum of all divisors σ(n): 306105408
- Sum of proper divisors (its aliquot sum) s(n): 221137008
- 84968400 is an abundant number, because the sum of its proper divisors (221137008) is greater than itself. Its abundance is 136168608
Bases of 84968400
- Binary: 1010001000010000011110100002
- Hexadecimal: 0x51083D0
- Base-36: 1EL61C
Squares and roots of 84968400
- 84968400 squared (849684002) is 7219628998560000
- 84968400 cubed (849684003) is 613440324601245504000000
-
The
square root of 84968400 is 9217.8305473685 -
The
cube root of 84968400 is 439.6284742593
Scales and comparisons
How big is 84968400?- 84,968,400 seconds is equal to 2 years, 36 weeks, 3 days, 10 hours, 20 minutes.
-
To count from 1 to 84,968,400 would take you about four 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 84968400 cubic inches would be around 36.6 feet tall.
Recreational maths with 84968400
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