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520506 = 237717
BaseRepresentation
bin1111111000100111010
3222110000000
41333010322
5113124011
615053430
74265340
oct1770472
9873000
10520506
11326078
12211276
13152bbc
14d7990
15a4356
hex7f13a

520506 has 64 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 139968.

The previous prime is 520451. The next prime is 520529. The reversal of 520506 is 605025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30610 + ... + 30626.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2520506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708480).

520506 is an abundant number, since it is smaller than the sum of its proper divisors (896454).

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

520506 is an equidigital number, since it uses as much as digits as its factorization.

520506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 520506 is about 721.4610176579. The cubic root of 520506 is about 80.4405898857.

The spelling of 520506 in words is "five hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1377 1458 1701 2142 2187 2754 3213 3402 4131 4374 5103 6426 8262 9639 10206 12393 15309 19278 24786 28917 30618 37179 57834 74358 86751 173502 260253 520506