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520162328 = 237172983227
BaseRepresentation
bin11111000000010…
…000110000011000
31100020202222120102
4133000100300120
52031130143303
6123340514532
715614210150
oct3700206030
91306688512
10520162328
11247688724
1212624ba48
13839c437a
144d123760
15309ec288
hex1f010c18

520162328 has 128 divisors (see below), whose sum is σ = 1241049600. Its totient is φ = 199256064.

The previous prime is 520162327. The next prime is 520162343. The reversal of 520162328 is 823261025.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 520162328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520162327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291351 + ... + 2291577.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2520162328 is an apocalyptic number.

520162328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520162328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

520162328 is an abundant number, since it is smaller than the sum of its proper divisors (720887272).

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

520162328 is a wasteful number, since it uses less digits than its factorization.

520162328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 520162328 is about 22807.0675011059. The cubic root of 520162328 is about 804.2288194701.

The spelling of 520162328 in words is "five hundred twenty million, one hundred sixty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 83 116 119 136 166 203 227 232 238 332 406 454 476 493 581 664 812 908 952 986 1162 1411 1589 1624 1816 1972 2324 2407 2822 3178 3451 3859 3944 4648 4814 5644 6356 6583 6902 7718 9628 9877 11288 12712 13166 13804 15436 16849 18841 19256 19754 26332 27013 27608 30872 33698 37682 39508 40919 46081 52664 54026 67396 75364 79016 81838 92162 108052 111911 131887 134792 150728 163676 184324 216104 223822 263774 286433 320297 327352 368648 447644 527548 546389 572866 640594 783377 895288 1055096 1092778 1145732 1281188 1566754 2185556 2242079 2291464 2562376 3133508 3824723 4371112 4484158 6267016 7649446 8968316 9288613 15298892 17936632 18577226 30597784 37154452 65020291 74308904 130040582 260081164 520162328