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520675506 = 2331319103379
BaseRepresentation
bin11111000010001…
…110000010110010
31100021202001112000
4133002032002302
52031243104011
6123355514430
715621445251
oct3702160262
91307661460
10520675506
112479a923a
12126458a16
1383b43b20
144d218798
1530a9e356
hex1f08e0b2

520675506 has 128 divisors (see below), whose sum is σ = 1327872000. Its totient is φ = 149905728.

The previous prime is 520675501. The next prime is 520675537. The reversal of 520675506 is 605576025.

It is a super-2 number, since 2×5206755062 = 542205965096712072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (520675501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1373625 + ... + 1374003.

It is an arithmetic number, because the mean of its divisors is an integer number (10374000).

Almost surely, 2520675506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520675506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936000).

520675506 is an abundant number, since it is smaller than the sum of its proper divisors (807196494).

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

520675506 is a wasteful number, since it uses less digits than its factorization.

520675506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 520675506 is about 22818.3151437612. The cubic root of 520675506 is about 804.4932092997.

The spelling of 520675506 in words is "five hundred twenty million, six hundred seventy-five thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 103 114 117 171 206 234 247 309 342 351 379 494 513 618 702 741 758 927 1026 1137 1339 1482 1854 1957 2223 2274 2678 2781 3411 3914 4017 4446 4927 5562 5871 6669 6822 7201 8034 9854 10233 11742 12051 13338 14402 14781 17613 20466 21603 24102 25441 29562 35226 36153 39037 43206 44343 50882 52839 64809 72306 76323 78074 88686 93613 105678 117111 129618 133029 152646 187226 194427 228969 234222 266058 280839 351333 388854 457938 507481 561678 686907 702666 741703 842517 1014962 1053999 1373814 1483406 1522443 1685034 2107998 2225109 2527551 3044886 4450218 4567329 5055102 6675327 9134658 9642139 13350654 13701987 19284278 20025981 27403974 28926417 40051962 57852834 86779251 173558502 260337753 520675506