82688320
82,688,320 is an even composite number composed of five prime numbers multiplied together.
82688320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 82688320:
26 × 5 × 11 × 132 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 139)See below for interesting mathematical facts about the number 82688320 from the Numbermatics database.
Names of 82688320
- Cardinal: 82688320 can be written as Eighty-two million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.268832 × 107
Factors of 82688320
Divisors of 82688320
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 139 143 160 169 176 208 220 260 278 286 320 338 352 416 440 520 556 572 676 695 704 715 832 845 880 1040 1112 1144 1352 1390 1430 1529 1690 1760 1807 1859 2080 2224 2288 2704 2780 2860 3058 3380 3520 3614 3718 4160 4448 4576 5408 5560 5720 6116 6760 7228 7436 7645 8896 9035 9152 9295 10816 11120 11440 12232 13520 14456 14872 15290 18070 18590 19877 22240 22880 23491 24464 27040 28912 29744 30580 36140 37180 39754 44480 45760 46982 48928 54080 57824 59488 61160 72280 74360 79508 93964 97856 99385 115648 117455 118976 122320 144560 148720 159016 187928 198770 234910 244640 258401 289120 297440 318032 375856 397540 469820 489280 516802 578240 594880 636064 751712 795080 939640 1033604 1272128 1292005 1503424 1590160 1879280 2067208 2584010 3180320 3758560 4134416 5168020 6360640 7517120 8268832 10336040 16537664 20672080 41344160 82688320
- Sum of all divisors σ(n): 234269280
- Sum of proper divisors (its aliquot sum) s(n): 151580960
- 82688320 is an abundant number, because the sum of its proper divisors (151580960) is greater than itself. Its abundance is 68892640
Bases of 82688320
- Binary: 1001110110110111001010000002
- Hexadecimal: 0x4EDB940
- Base-36: 1D8APS
Squares and roots of 82688320
- 82688320 squared (826883202) is 6837358264422400
- 82688320 cubed (826883203) is 565369668123204026368000
-
The
square root of 82688320 is 9093.3118279315 -
The
cube root of 82688320 is 435.6603701347
Scales and comparisons
How big is 82688320?- 82,688,320 seconds is equal to 2 years, 32 weeks, 5 days, 58 minutes, 40 seconds.
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To count from 1 to 82,688,320 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 82688320 cubic inches would be around 36.3 feet tall.
Recreational maths with 82688320
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