972079920
972,079,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 972079920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
972079920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 972079920:
24 × 33 × 5 × 7 × 239 × 269
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 239 × 269)See below for interesting mathematical facts about the number 972079920 from the Numbermatics database.
Names of 972079920
- Cardinal: 972079920 can be written as Nine hundred seventy-two million, seventy-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7207992 × 108
Factors of 972079920
Divisors of 972079920
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 239 240 252 269 270 280 315 336 360 378 420 432 478 504 538 540 560 630 717 720 756 807 840 945 956 1008 1076 1080 1195 1260 1345 1434 1512 1614 1673 1680 1883 1890 1912 2151 2152 2160 2390 2421 2520 2690 2868 3024 3228 3346 3585 3766 3780 3824 4035 4302 4304 4780 4842 5019 5040 5380 5649 5736 6453 6456 6692 7170 7263 7532 7560 8070 8365 8604 9415 9560 9684 10038 10755 10760 11298 11472 12105 12906 12912 13384 14340 14526 15057 15064 15120 16140 16730 16947 17208 18830 19120 19368 20076 21510 21520 22596 24210 25095 25812 26768 28245 28680 29052 30114 30128 32265 32280 33460 33894 34416 36315 37660 38736 40152 43020 45171 45192 48420 50190 50841 51624 56490 57360 58104 60228 64291 64530 64560 66920 67788 72630 75285 75320 80304 84735 86040 90342 90384 96840 100380 101682 103248 112980 116208 120456 128582 129060 133840 135576 145260 150570 150640 169470 172080 180684 192873 193680 200760 203364 225855 225960 240912 254205 257164 258120 271152 290520 301140 321455 338940 361368 385746 401520 406728 450037 451710 451920 508410 514328 516240 578619 581040 602280 642910 677880 722736 771492 813456 900074 903420 964365 1016820 1028656 1157238 1204560 1285820 1350111 1355760 1542984 1735857 1800148 1806840 1928730 2033640 2250185 2314476 2571640 2700222 2893095 3085968 3471714 3600296 3613680 3857460 4050333 4067280 4500370 4628952 5143280 5400444 5786190 6750555 6943428 7200592 7714920 8100666 8679285 9000740 9257904 10800888 11572380 12150999 13501110 13886856 15429840 16201332 17358570 18001480 20251665 21601776 23144760 24301998 27002220 27773712 32402664 34717140 36002960 40503330 46289520 48603996 54004440 60754995 64805328 69434280 81006660 97207992 108008880 121509990 138868560 162013320 194415984 243019980 324026640 486039960 972079920
- Sum of all divisors σ(n): 3856896000
- Sum of proper divisors (its aliquot sum) s(n): 2884816080
- 972079920 is an abundant number, because the sum of its proper divisors (2884816080) is greater than itself. Its abundance is 1912736160
Bases of 972079920
- Binary: 1110011111000011000011001100002
- Hexadecimal: 0x39F0C330
- Base-36: G2R1O0
Squares and roots of 972079920
- 972079920 squared (9720799202) is 944939370867206400
- 972079920 cubed (9720799203) is 918556588037444327935488000
-
The
square root of 972079920 is 31178.1962274921 -
The
cube root of 972079920 is 990.6053231041
Scales and comparisons
How big is 972079920?- 972,079,920 seconds is equal to 30 years, 47 weeks, 1 day, 22 hours, 12 minutes.
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To count from 1 to 972,079,920 would take you about forty-six 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 972079920 cubic inches would be around 82.6 feet tall.
Recreational maths with 972079920
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