530006400
530,006,400 is an even composite number composed of six prime numbers multiplied together.
530006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 530006400:
27 × 32 × 52 × 7 × 11 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 239)See below for interesting mathematical facts about the number 530006400 from the Numbermatics database.
Names of 530006400
- Cardinal: 530006400 can be written as Five hundred thirty million, six thousand, four hundred.
Scientific notation
- Scientific notation: 5.300064 × 108
Factors of 530006400
Divisors of 530006400
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 239 240 252 264 275 280 288 300 308 315 320 330 336 350 352 360 384 385 396 400 420 440 448 450 462 478 480 495 504 525 528 550 560 576 600 616 630 640 660 672 693 700 704 717 720 770 792 800 825 840 880 896 900 924 956 960 990 1008 1050 1056 1100 1120 1152 1155 1195 1200 1232 1260 1320 1344 1386 1400 1408 1434 1440 1540 1575 1584 1600 1650 1673 1680 1760 1800 1848 1912 1920 1925 1980 2016 2100 2112 2151 2200 2240 2310 2390 2400 2464 2475 2520 2629 2640 2688 2772 2800 2868 2880 3080 3150 3168 3200 3300 3346 3360 3465 3520 3585 3600 3696 3824 3850 3960 4032 4200 4224 4302 4400 4480 4620 4780 4800 4928 4950 5019 5040 5258 5280 5544 5600 5736 5760 5775 5975 6160 6300 6336 6600 6692 6720 6930 7040 7170 7200 7392 7648 7700 7887 7920 8064 8365 8400 8604 8800 9240 9560 9600 9856 9900 10038 10080 10516 10560 10755 11088 11200 11472 11550 11950 12320 12600 12672 13145 13200 13384 13440 13860 14340 14400 14784 15057 15296 15400 15774 15840 16730 16800 17208 17325 17600 17925 18403 18480 19120 19800 20076 20160 21032 21120 21510 22176 22400 22944 23100 23661 23900 24640 25095 25200 26290 26400 26768 27720 28680 28800 29568 30114 30592 30800 31548 31680 33460 33600 34416 34650 35200 35850 36806 36960 38240 39435 39600 40152 40320 41825 42064 43020 44352 45888 46200 47322 47800 49280 50190 50400 52580 52800 53536 53775 55209 55440 57360 60228 61600 63096 63360 65725 66920 67200 68832 69300 71700 73612 73920 75285 76480 78870 79200 80304 83650 84128 86040 88704 91776 92015 92400 94644 95600 100380 100800 105160 105600 107072 107550 110418 110880 114720 118305 120456 123200 125475 126192 131450 133840 137664 138600 143400 147224 147840 150570 152960 157740 158400 160608 165627 167300 168256 172080 184030 184800 189288 191200 197175 200760 201600 210320 214144 215100 220836 221760 229440 236610 240912 246400 250950 252384 262900 267680 275328 276045 277200 286800 294448 301140 315480 316800 321216 331254 334600 336512 344160 368060 369600 376425 378576 382400 394350 401520 420640 430200 441672 443520 458880 460075 473220 481824 501900 504768 525800 535360 552090 554400 573600 588896 591525 602280 630960 642432 662508 669200 688320 736120 739200 752850 757152 764800 788700 803040 828135 841280 860400 883344 920150 946440 963648 1003800 1009536 1051600 1070720 1104180 1108800 1147200 1177792 1183050 1204560 1261920 1325016 1338400 1376640 1380225 1472240 1505700 1514304 1577400 1606080 1656270 1682560 1720800 1766688 1840300 1892880 1927296 2007600 2103200 2208360 2217600 2294400 2355584 2366100 2409120 2523840 2650032 2676800 2760450 2944480 3011400 3028608 3154800 3212160 3312540 3441600 3533376 3680600 3785760 4015200 4140675 4206400 4416720 4732200 4818240 5047680 5300064 5353600 5520900 5888960 6022800 6309600 6625080 6883200 7066752 7361200 7571520 8030400 8281350 8412800 8833440 9464400 9636480 10600128 11041800 11777920 12045600 12619200 13250160 14722400 15143040 16060800 16562700 17666880 18928800 21200256 22083600 24091200 25238400 26500320 29444800 33125400 35333760 37857600 44167200 48182400 53000640 58889600 66250800 75715200 88334400 106001280 132501600 176668800 265003200 530006400
- Sum of all divisors σ(n): 2367705600
- Sum of proper divisors (its aliquot sum) s(n): 1837699200
- 530006400 is an abundant number, because the sum of its proper divisors (1837699200) is greater than itself. Its abundance is 1307692800
Bases of 530006400
- Binary: 111111001011101000001100000002
- Hexadecimal: 0x1F974180
- Base-36: 8RJVK0
Squares and roots of 530006400
- 530006400 squared (5300064002) is 280906784040960000
- 530006400 cubed (5300064003) is 148882393345126662144000000
-
The
square root of 530006400 is 23021.8678651407 -
The
cube root of 530006400 is 809.2704908713
Scales and comparisons
How big is 530006400?- 530,006,400 seconds is equal to 16 years, 44 weeks, 2 days, 8 hours.
-
To count from 1 to 530,006,400 would take you about twenty-five 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 530006400 cubic inches would be around 67.4 feet tall.
Recreational maths with 530006400
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