996072000
996,072,000 is an even composite number composed of five prime numbers multiplied together.
996072000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 996072000:
26 × 3 × 53 × 73 × 112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11)See below for interesting mathematical facts about the number 996072000 from the Numbermatics database.
Names of 996072000
- Cardinal: 996072000 can be written as Nine hundred ninety-six million, seventy-two thousand.
Scientific notation
- Scientific notation: 9.96072 × 108
Factors of 996072000
Divisors of 996072000
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 121 125 132 140 147 150 154 160 165 168 175 176 192 196 200 210 220 224 231 240 242 245 250 264 275 280 294 300 308 320 330 336 343 350 352 363 375 385 392 400 420 440 448 462 480 484 490 500 525 528 539 550 560 588 600 605 616 660 672 686 700 704 726 735 750 770 784 800 825 840 847 875 880 924 960 968 980 1000 1029 1050 1056 1078 1100 1120 1155 1176 1200 1210 1225 1232 1320 1344 1372 1375 1400 1452 1470 1500 1540 1568 1600 1617 1650 1680 1694 1715 1750 1760 1815 1848 1925 1936 1960 2000 2058 2100 2112 2156 2200 2240 2310 2352 2400 2420 2450 2464 2541 2625 2640 2695 2744 2750 2800 2904 2940 3000 3025 3080 3136 3234 3300 3360 3388 3430 3500 3520 3630 3675 3696 3773 3850 3872 3920 4000 4116 4125 4200 4235 4312 4400 4620 4704 4800 4840 4900 4928 5082 5145 5250 5280 5390 5488 5500 5600 5775 5808 5880 5929 6000 6050 6125 6160 6468 6600 6720 6776 6860 7000 7260 7350 7392 7546 7700 7744 7840 8000 8085 8232 8250 8400 8470 8575 8624 8800 9075 9240 9408 9625 9680 9800 10164 10290 10500 10560 10780 10976 11000 11200 11319 11550 11616 11760 11858 12000 12100 12250 12320 12705 12936 13200 13475 13552 13720 14000 14520 14700 14784 15092 15125 15400 15680 16170 16464 16500 16800 16940 17150 17248 17600 17787 18150 18375 18480 18865 19250 19360 19600 20328 20580 21000 21175 21560 21952 22000 22638 23100 23232 23520 23716 24000 24200 24500 24640 25410 25725 25872 26400 26950 27104 27440 28000 28875 29040 29400 29645 30184 30250 30800 32340 32928 33000 33600 33880 34300 34496 35574 36300 36750 36960 37730 38500 38720 39200 40425 40656 41160 41503 42000 42350 42875 43120 44000 45276 45375 46200 47040 47432 48400 49000 50820 51450 51744 52800 53900 54208 54880 56000 56595 57750 58080 58800 59290 60368 60500 61600 63525 64680 65856 66000 67375 67760 68600 71148 72600 73500 73920 75460 77000 78400 80850 81312 82320 83006 84000 84700 85750 86240 88000 88935 90552 90750 92400 94325 94864 96800 98000 101640 102900 103488 105875 107800 109760 113190 115500 116160 117600 118580 120736 121000 123200 124509 127050 128625 129360 132000 134750 135520 137200 142296 145200 147000 148225 150920 154000 161700 162624 164640 166012 168000 169400 171500 172480 177870 181104 181500 184800 188650 189728 193600 196000 202125 203280 205800 207515 211750 215600 226380 231000 235200 237160 241472 242000 249018 254100 257250 258720 264000 269500 271040 274400 282975 284592 290400 294000 296450 301840 308000 317625 323400 329280 332024 338800 343000 355740 362208 363000 369600 377300 379456 392000 404250 406560 411600 415030 423500 431200 444675 452760 462000 471625 474320 484000 498036 508200 514500 517440 539000 548800 565950 569184 580800 588000 592900 603680 616000 622545 635250 646800 664048 677600 686000 711480 724416 726000 741125 754600 808500 813120 823200 830060 847000 862400 889350 905520 924000 943250 948640 968000 996072 1016400 1029000 1037575 1078000 1131900 1138368 1176000 1185800 1207360 1245090 1270500 1293600 1328096 1355200 1372000 1414875 1422960 1452000 1482250 1509200 1617000 1646400 1660120 1694000 1778700 1811040 1848000 1886500 1897280 1992144 2032800 2058000 2075150 2156000 2223375 2263800 2371600 2490180 2541000 2587200 2656192 2744000 2829750 2845920 2904000 2964500 3018400 3112725 3234000 3320240 3388000 3557400 3622080 3773000 3984288 4065600 4116000 4150300 4312000 4446750 4527600 4743200 4980360 5082000 5187875 5659500 5691840 5929000 6036800 6225450 6468000 6640480 6776000 7114800 7546000 7968576 8232000 8300600 8893500 9055200 9486400 9960720 10164000 10375750 11319000 11858000 12450900 12936000 13280960 14229600 15092000 15563625 16601200 17787000 18110400 19921440 20328000 20751500 22638000 23716000 24901800 28459200 30184000 31127250 33202400 35574000 39842880 41503000 45276000 47432000 49803600 62254500 66404800 71148000 83006000 90552000 99607200 124509000 142296000 166012000 199214400 249018000 332024000 498036000 996072000
- Sum of all divisors σ(n): 4215993600
- Sum of proper divisors (its aliquot sum) s(n): 3219921600
- 996072000 is an abundant number, because the sum of its proper divisors (3219921600) is greater than itself. Its abundance is 2223849600
Bases of 996072000
- Binary: 1110110101111011011010010000002
- Hexadecimal: 0x3B5EDA40
- Base-36: GH1A2O
Squares and roots of 996072000
- 996072000 squared (9960720002) is 992159429184000000
- 996072000 cubed (9960720003) is 988262226946165248000000000
-
The
square root of 996072000 is 31560.6083591555 -
The
cube root of 996072000 is 998.6889485621
Scales and comparisons
How big is 996072000?- 996,072,000 seconds is equal to 31 years, 34 weeks, 6 days, 14 hours, 40 minutes.
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To count from 1 to 996,072,000 would take you about forty-seven 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 996072000 cubic inches would be around 83.2 feet tall.
Recreational maths with 996072000
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