82972120
82,972,120 is an even composite number composed of six prime numbers multiplied together.
82972120 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 82972120:
23 × 5 × 7 × 112 × 31 × 79
(2 × 2 × 2 × 5 × 7 × 11 × 11 × 31 × 79)See below for interesting mathematical facts about the number 82972120 from the Numbermatics database.
Names of 82972120
- Cardinal: 82972120 can be written as Eighty-two million, nine hundred seventy-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.297212 × 107
Factors of 82972120
Divisors of 82972120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 79 88 110 121 124 140 154 155 158 217 220 242 248 280 308 310 316 341 385 395 434 440 484 553 605 616 620 632 682 770 790 847 868 869 968 1085 1106 1210 1240 1364 1540 1580 1694 1705 1736 1738 2170 2212 2387 2420 2449 2728 2765 3080 3160 3388 3410 3476 3751 4235 4340 4345 4424 4774 4840 4898 5530 6083 6776 6820 6952 7502 8470 8680 8690 9548 9559 9796 11060 11935 12166 12245 13640 15004 16940 17143 17380 18755 19096 19118 19592 22120 23870 24332 24490 26257 26939 30008 30415 33880 34286 34760 37510 38236 47740 47795 48664 48980 52514 53878 60830 66913 68572 75020 76472 85715 95480 95590 97960 105028 107756 121660 131285 133826 134695 137144 150040 171430 188573 191180 210056 215512 243320 262570 267652 269390 296329 334565 342860 377146 382360 525140 535304 538780 592658 669130 685720 754292 942865 1050280 1077560 1185316 1338260 1481645 1508584 1885730 2074303 2370632 2676520 2963290 3771460 4148606 5926580 7542920 8297212 10371515 11853160 16594424 20743030 41486060 82972120
- Sum of all divisors σ(n): 245145600
- Sum of proper divisors (its aliquot sum) s(n): 162173480
- 82972120 is an abundant number, because the sum of its proper divisors (162173480) is greater than itself. Its abundance is 79201360
Bases of 82972120
- Binary: 1001111001000001101110110002
- Hexadecimal: 0x4F20DD8
- Base-36: 1DEDP4
Squares and roots of 82972120
- 82972120 squared (829721202) is 6884372697294400
- 82972120 cubed (829721203) is 571210997564634632128000
-
The
square root of 82972120 is 9108.9033368459 -
The
cube root of 82972120 is 436.1582204989
Scales and comparisons
How big is 82972120?- 82,972,120 seconds is equal to 2 years, 33 weeks, 1 day, 7 hours, 48 minutes, 40 seconds.
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To count from 1 to 82,972,120 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 82972120 cubic inches would be around 36.3 feet tall.
Recreational maths with 82972120
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