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505134 = 232719211
BaseRepresentation
bin1111011010100101110
3221122220200
41323110232
5112131014
614454330
74202460
oct1732456
9848820
10505134
11315573
122043a6
13148bc6
14d2130
159ea09
hex7b52e

505134 has 48 divisors (see below), whose sum is σ = 1322880. Its totient is φ = 136080.

The previous prime is 505129. The next prime is 505139. The reversal of 505134 is 431505.

It is an interprime number because it is at equal distance from previous prime (505129) and next prime (505139).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505139) by changing a digit.

505134 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289 + ... + 2499.

It is an arithmetic number, because the mean of its divisors is an integer number (27560).

2505134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661440).

505134 is an abundant number, since it is smaller than the sum of its proper divisors (817746).

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

505134 is a wasteful number, since it uses less digits than its factorization.

505134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

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

The square root of 505134 is about 710.7277959951. The cubic root of 505134 is about 79.6407853075.

Adding to 505134 its reverse (431505), we get a palindrome (936639).

It can be divided in two parts, 50 and 5134, that added together give a square (5184 = 722).

The spelling of 505134 in words is "five hundred five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 211 266 342 399 422 633 798 1197 1266 1477 1899 2394 2954 3798 4009 4431 8018 8862 12027 13293 24054 26586 28063 36081 56126 72162 84189 168378 252567 505134