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534132 = 223237401
BaseRepresentation
bin10000010011001110100
31000010200200
42002121310
5114043012
615240500
74353144
oct2023164
91003620
10534132
11335335
12219130
13159171
14dc924
15a83dc
hex82674

534132 has 36 divisors (see below), whose sum is σ = 1390116. Its totient is φ = 172800.

The previous prime is 534113. The next prime is 534137. The reversal of 534132 is 231435.

534132 is a `hidden beast` number, since 534 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 24336 = 714^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534137) by changing a digit.

534132 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 11 ways as a sum of consecutive naturals, for example, 1132 + ... + 1532.

2534132 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 534132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695058).

534132 is an abundant number, since it is smaller than the sum of its proper divisors (855984).

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

534132 is a wasteful number, since it uses less digits than its factorization.

534132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 534132 is about 730.8433484681. The cubic root of 534132 is about 81.1364868512.

Adding to 534132 its reverse (231435), we get a palindrome (765567).

It can be divided in two parts, 534 and 132, that added together give a palindrome (666).

The spelling of 534132 in words is "five hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 401 444 666 802 1203 1332 1604 2406 3609 4812 7218 14436 14837 29674 44511 59348 89022 133533 178044 267066 534132