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663428070 = 23452961463
BaseRepresentation
bin100111100010110…
…001101111100110
31201020100122020000
4213202301233212
52324314144240
6145455322130
722304021424
oct4742615746
91636318200
10663428070
11310540368
12166220346
13a75a5cb6
1464178114
153d39b430
hex278b1be6

663428070 has 160 divisors (see below), whose sum is σ = 1879701120. Its totient is φ = 167650560.

The previous prime is 663428057. The next prime is 663428071. The reversal of 663428070 is 70824366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663428071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432659 + ... + 1433121.

It is an arithmetic number, because the mean of its divisors is an integer number (11748132).

Almost surely, 2663428070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663428070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939850560).

663428070 is an abundant number, since it is smaller than the sum of its proper divisors (1216273050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663428070 is a wasteful number, since it uses less digits than its factorization.

663428070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 663428070 is about 25757.0974684649. The cubic root of 663428070 is about 872.1635805046.

The spelling of 663428070 in words is "six hundred sixty-three million, four hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 61 81 87 90 122 135 145 162 174 183 261 270 290 305 366 405 435 463 522 549 610 783 810 870 915 926 1098 1305 1389 1566 1647 1769 1830 2315 2349 2610 2745 2778 3294 3538 3915 4167 4630 4698 4941 5307 5490 6945 7830 8235 8334 8845 9882 10614 11745 12501 13427 13890 15921 16470 17690 20835 23490 24705 25002 26535 26854 28243 31842 37503 40281 41670 47763 49410 53070 56486 62505 67135 75006 79605 80562 84729 95526 120843 125010 134270 141215 143289 159210 169458 187515 201405 238815 241686 254187 282430 286578 362529 375030 402810 423645 477630 508374 604215 716445 725058 762561 819047 847290 1087587 1208430 1270935 1432890 1525122 1638094 1812645 2175174 2287683 2457141 2541870 3625290 3812805 4095235 4575366 4914282 5437935 7371423 7625610 8190470 10875870 11438415 12285705 14742846 22114269 22876830 24571410 36857115 44228538 66342807 73714230 110571345 132685614 221142690 331714035 663428070