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520163190 = 232519331919
BaseRepresentation
bin11111000000010…
…000111101110110
31100020210000202100
4133000100331312
52031130210230
6123340522530
715614212521
oct3700207566
91306700670
10520163190
11247689338
12126250446
13839c4891
144d123bb8
15309ec660
hex1f010f76

520163190 has 96 divisors (see below), whose sum is σ = 1429459200. Its totient is φ = 130870080.

The previous prime is 520163129. The next prime is 520163191. The reversal of 520163190 is 91361025.

520163190 is a `hidden beast` number, since 5 + 20 + 1 + 631 + 9 + 0 = 666.

It is a super-2 number, since 2×5201631902 = 541139488461952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520163191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565551 + ... + 566469.

It is an arithmetic number, because the mean of its divisors is an integer number (14890200).

Almost surely, 2520163190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520163190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714729600).

520163190 is an abundant number, since it is smaller than the sum of its proper divisors (909296010).

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

520163190 is a wasteful number, since it uses less digits than its factorization.

520163190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 520163190 is about 22807.0863987490. The cubic root of 520163190 is about 804.2292637191.

The spelling of 520163190 in words is "five hundred twenty million, one hundred sixty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 331 342 570 662 855 919 993 1655 1710 1838 1986 2757 2979 3310 4595 4965 5514 5958 6289 8271 9190 9930 12578 13785 14895 16542 17461 18867 27570 29790 31445 34922 37734 41355 52383 56601 62890 82710 87305 94335 104766 113202 157149 174610 188670 261915 283005 304189 314298 523830 566010 608378 785745 912567 1520945 1571490 1825134 2737701 3041890 4562835 5475402 5779591 9125670 11559182 13688505 17338773 27377010 28897955 34677546 52016319 57795910 86693865 104032638 173387730 260081595 520163190