972990720
972,990,720 is an even composite number composed of six prime numbers multiplied together.
972990720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 972990720:
28 × 32 × 5 × 13 × 73 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 73 × 89)See below for interesting mathematical facts about the number 972990720 from the Numbermatics database.
Names of 972990720
- Cardinal: 972990720 can be written as Nine hundred seventy-two million, nine hundred ninety thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 9.7299072 × 108
Factors of 972990720
Divisors of 972990720
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 73 78 80 89 90 96 104 117 120 128 130 144 146 156 160 178 180 192 195 208 219 234 240 256 260 267 288 292 312 320 356 360 365 384 390 416 438 445 468 480 520 534 576 584 585 624 640 657 712 720 730 768 780 801 832 876 890 936 949 960 1040 1068 1095 1152 1157 1168 1170 1248 1280 1314 1335 1424 1440 1460 1560 1602 1664 1752 1780 1872 1898 1920 2080 2136 2190 2304 2314 2336 2340 2496 2628 2670 2847 2848 2880 2920 3120 3204 3285 3328 3471 3504 3560 3744 3796 3840 4005 4160 4272 4380 4628 4672 4680 4745 4992 5256 5340 5694 5696 5760 5785 5840 6240 6408 6497 6570 6942 7008 7120 7488 7592 8010 8320 8541 8544 8760 9256 9344 9360 9490 9984 10413 10512 10680 11388 11392 11520 11570 11680 12480 12816 12994 13140 13884 14016 14235 14240 14976 15184 16020 16640 17082 17088 17355 17520 18512 18688 18720 18980 19491 20826 21024 21360 22776 22784 23140 23360 24960 25632 25988 26280 27768 28032 28470 28480 29952 30368 32040 32485 34164 34176 34710 35040 37024 37440 37960 38982 41652 42048 42705 42720 45552 46280 46720 49920 51264 51976 52065 52560 55536 56064 56940 56960 58473 60736 64080 64970 68328 68352 69420 70080 74048 74880 75920 77964 83304 84096 84461 85410 85440 91104 92560 93440 97455 102528 103952 104130 105120 111072 113880 113920 116946 121472 128160 129940 136656 138840 140160 148096 149760 151840 155928 166608 168192 168922 170820 170880 182208 185120 194910 205056 207904 208260 210240 222144 227760 233892 242944 253383 256320 259880 273312 277680 280320 292365 296192 303680 311856 333216 337844 341640 341760 364416 370240 389820 415808 416520 420480 422305 444288 455520 467784 506766 512640 519760 546624 555360 584730 607360 623712 666432 675688 683280 728832 740480 760149 779640 831616 833040 840960 844610 888576 911040 935568 1013532 1025280 1039520 1093248 1110720 1169460 1214720 1247424 1266915 1332864 1351376 1366560 1480960 1520298 1559280 1663232 1666080 1689220 1822080 1871136 2027064 2079040 2186496 2221440 2338920 2494848 2533830 2665728 2702752 2733120 3040596 3118560 3332160 3378440 3644160 3742272 3800745 4054128 4158080 4442880 4677840 4989696 5067660 5405504 5466240 6081192 6237120 6664320 6756880 7484544 7601490 8108256 8316160 9355680 10135320 10811008 10932480 12162384 12474240 13328640 13513760 14969088 15202980 16216512 18711360 20270640 21622016 24324768 24948480 27027520 30405960 32433024 37422720 40541280 48649536 54055040 60811920 64866048 74845440 81082560 97299072 108110080 121623840 162165120 194598144 243247680 324330240 486495360 972990720
- Sum of all divisors σ(n): 3716359920
- Sum of proper divisors (its aliquot sum) s(n): 2743369200
- 972990720 is an abundant number, because the sum of its proper divisors (2743369200) is greater than itself. Its abundance is 1770378480
Bases of 972990720
- Binary: 1110011111111010101001000000002
- Hexadecimal: 0x39FEA900
- Base-36: G3AKG0
Squares and roots of 972990720
- 972990720 squared (9729907202) is 946710941206118400
- 972990720 cubed (9729907203) is 921140960316018810421248000
-
The
square root of 972990720 is 31192.7991690389 -
The
cube root of 972990720 is 990.9146123807
Scales and comparisons
How big is 972990720?- 972,990,720 seconds is equal to 30 years, 48 weeks, 5 days, 11 hours, 12 minutes.
-
To count from 1 to 972,990,720 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 972990720 cubic inches would be around 82.6 feet tall.
Recreational maths with 972990720
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