130906800
130,906,800 is an even composite number composed of six prime numbers multiplied together.
130906800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 130906800:
24 × 33 × 52 × 17 × 23 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 23 × 31)See below for interesting mathematical facts about the number 130906800 from the Numbermatics database.
Names of 130906800
- Cardinal: 130906800 can be written as One hundred thirty million, nine hundred six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.309068 × 108
Factors of 130906800
Divisors of 130906800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 27 30 31 34 36 40 45 46 48 50 51 54 60 62 68 69 72 75 80 85 90 92 93 100 102 108 115 120 124 135 136 138 144 150 153 155 170 180 184 186 200 204 207 216 225 230 240 248 255 270 272 276 279 300 306 310 340 345 360 368 372 391 400 408 414 425 432 450 459 460 465 496 510 527 540 552 558 575 600 612 620 621 675 680 690 713 720 744 765 775 782 816 828 837 850 900 918 920 930 1020 1035 1054 1080 1104 1116 1150 1173 1200 1224 1240 1242 1275 1350 1360 1380 1395 1426 1488 1530 1550 1564 1581 1656 1674 1700 1725 1800 1836 1840 1860 1955 2040 2070 2108 2139 2160 2232 2295 2300 2325 2346 2448 2480 2484 2550 2635 2700 2760 2790 2852 3060 3100 3105 3128 3162 3312 3348 3400 3450 3519 3565 3600 3672 3720 3825 3910 4080 4140 4185 4216 4278 4464 4590 4600 4650 4692 4743 4968 5100 5175 5270 5400 5520 5580 5704 5865 6120 6200 6210 6256 6324 6417 6696 6800 6900 6975 7038 7130 7344 7440 7650 7820 7905 8280 8370 8432 8556 9180 9200 9300 9384 9486 9775 9936 10200 10350 10540 10557 10695 10800 11160 11408 11475 11730 12121 12240 12400 12420 12648 12834 13175 13392 13800 13950 14076 14229 14260 15300 15525 15640 15810 16560 16740 17112 17595 17825 18360 18600 18768 18972 19251 19550 20400 20700 20925 21080 21114 21390 22320 22950 23460 23715 24242 24840 25296 25668 26350 27600 27900 28152 28458 28520 29325 30600 31050 31280 31620 32085 33480 34224 35190 35650 36363 36720 37200 37944 38502 39100 39525 41400 41850 42160 42228 42780 45900 46920 47430 48484 49680 51336 52700 52785 53475 55800 56304 56916 57040 58650 60605 61200 62100 63240 64170 66960 70380 71145 71300 72726 75888 77004 78200 79050 82800 83700 84456 85560 87975 91800 93840 94860 96255 96968 102672 105400 105570 106950 109089 111600 113832 117300 118575 121210 124200 126480 128340 140760 142290 142600 145452 154008 156400 158100 160425 167400 168912 171120 175950 181815 183600 189720 192510 193936 210800 211140 213900 218178 227664 234600 237150 242420 248400 256680 263925 281520 284580 285200 290904 303025 308016 316200 320850 327267 334800 351900 355725 363630 379440 385020 422280 427800 436356 469200 474300 481275 484840 513360 527850 545445 569160 581808 606050 632400 641700 654534 703800 711450 727260 770040 844560 855600 872712 909075 948600 962550 969680 1055700 1090890 1138320 1212100 1283400 1309068 1407600 1422900 1454520 1540080 1636335 1745424 1818150 1897200 1925100 2111400 2181780 2424200 2566800 2618136 2727225 2845800 2909040 3272670 3636300 3850200 4222800 4363560 4848400 5236272 5454450 5691600 6545340 7272600 7700400 8181675 8727120 10908900 13090680 14545200 16363350 21817800 26181360 32726700 43635600 65453400 130906800
- Sum of all divisors σ(n): 531394560
- Sum of proper divisors (its aliquot sum) s(n): 400487760
- 130906800 is an abundant number, because the sum of its proper divisors (400487760) is greater than itself. Its abundance is 269580960
Bases of 130906800
- Binary: 1111100110101111010101100002
- Hexadecimal: 0x7CD7AB0
- Base-36: 25XSC0
Squares and roots of 130906800
- 130906800 squared (1309068002) is 17136590286240000
- 130906800 cubed (1309068003) is 2243296197282762432000000
-
The
square root of 130906800 is 11441.4509569373 -
The
cube root of 130906800 is 507.7548365451
Scales and comparisons
How big is 130906800?- 130,906,800 seconds is equal to 4 years, 8 weeks, 3 days, 3 hours.
-
To count from 1 to 130,906,800 would take you about 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 130906800 cubic inches would be around 42.3 feet tall.
Recreational maths with 130906800
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