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534128 = 24719251
BaseRepresentation
bin10000010011001110000
31000010200112
42002121300
5114043003
615240452
74353140
oct2023160
91003615
10534128
11335331
12219128
1315916a
14dc920
15a83d8
hex82670

534128 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 216000.

The previous prime is 534113. The next prime is 534137. The reversal of 534128 is 821435.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2003 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2534128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

534128 is an abundant number, since it is smaller than the sum of its proper divisors (715792).

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

534128 is a wasteful number, since it uses less digits than its factorization.

534128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 534128 is about 730.8406118984. The cubic root of 534128 is about 81.1362843128.

The spelling of 534128 in words is "five hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 251 266 304 502 532 1004 1064 1757 2008 2128 3514 4016 4769 7028 9538 14056 19076 28112 33383 38152 66766 76304 133532 267064 534128