230826960
230,826,960 is an even composite number composed of six prime numbers multiplied together.
230826960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 230826960:
24 × 32 × 5 × 7 × 132 × 271
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 271)See below for interesting mathematical facts about the number 230826960 from the Numbermatics database.
Names of 230826960
- Cardinal: 230826960 can be written as Two hundred thirty million, eight hundred twenty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.3082696 × 108
Factors of 230826960
Divisors of 230826960
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 104 105 112 117 120 126 130 140 144 156 168 169 180 182 195 208 210 234 240 252 260 271 273 280 312 315 336 338 360 364 390 420 455 468 504 507 520 542 546 560 585 624 630 676 720 728 780 813 819 840 845 910 936 1008 1014 1040 1084 1092 1170 1183 1260 1352 1355 1365 1456 1521 1560 1626 1638 1680 1690 1820 1872 1897 2028 2168 2184 2340 2366 2439 2520 2535 2704 2710 2730 3042 3120 3252 3276 3380 3523 3549 3640 3794 4056 4065 4095 4336 4368 4680 4732 4878 5040 5070 5420 5460 5691 5915 6084 6504 6552 6760 7046 7098 7280 7588 7605 8112 8130 8190 9360 9464 9485 9756 10140 10569 10647 10840 10920 11382 11830 12168 12195 13008 13104 13520 14092 14196 15176 15210 16260 16380 17073 17615 17745 18928 18970 19512 20280 21138 21294 21680 21840 22764 23660 24336 24390 24661 28184 28392 28455 30352 30420 31707 32520 32760 34146 35230 35490 37940 39024 40560 42276 42588 45528 45799 47320 48780 49322 52845 53235 56368 56784 56910 60840 63414 65040 65520 68292 70460 70980 73983 75880 84552 85176 85365 91056 91598 94640 97560 98644 105690 106470 113820 121680 123305 126828 136584 137397 140920 141960 147966 151760 158535 169104 170352 170730 183196 195120 197288 211380 212940 221949 227640 228995 246610 253656 273168 274794 281840 283920 295932 317070 320593 341460 366392 369915 394576 412191 422760 425880 443898 455280 457990 493220 507312 549588 591864 634140 641186 682920 686985 732784 739830 824382 845520 851760 887796 915980 961779 986440 1099176 1109745 1183728 1268280 1282372 1365840 1373970 1479660 1602965 1648764 1775592 1831960 1923558 1972880 2060955 2198352 2219490 2536560 2564744 2747940 2885337 2959320 3205930 3297528 3551184 3663920 3847116 4121910 4438980 4808895 5129488 5495880 5770674 5918640 6411860 6595056 7694232 8243820 8877960 9617790 10991760 11541348 12823720 14426685 15388464 16487640 17755920 19235580 23082696 25647440 28853370 32975280 38471160 46165392 57706740 76942320 115413480 230826960
- Sum of all divisors σ(n): 962866944
- Sum of proper divisors (its aliquot sum) s(n): 732039984
- 230826960 is an abundant number, because the sum of its proper divisors (732039984) is greater than itself. Its abundance is 501213024
Bases of 230826960
- Binary: 11011100001000100011110100002
- Hexadecimal: 0xDC223D0
- Base-36: 3TFF80
Squares and roots of 230826960
- 230826960 squared (2308269602) is 53281085462841600
- 230826960 cubed (2308269603) is 12298710982887919489536000
-
The
square root of 230826960 is 15192.9904890379 -
The
cube root of 230826960 is 613.4259968165
Scales and comparisons
How big is 230826960?- 230,826,960 seconds is equal to 7 years, 17 weeks, 4 days, 14 hours, 36 minutes.
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To count from 1 to 230,826,960 would take you about eleven 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 230826960 cubic inches would be around 51.1 feet tall.
Recreational maths with 230826960
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