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134832 = 243532
BaseRepresentation
bin100000111010110000
320211221210
4200322300
513303312
62520120
71101045
oct407260
9224853
10134832
1192335
1266040
13494a9
14371cc
1529e3c
hex20eb0

134832 has 30 divisors (see below), whose sum is σ = 355012. Its totient is φ = 44096.

The previous prime is 134807. The next prime is 134837. The reversal of 134832 is 238431.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134799 and 134808.

It is not an unprimeable number, because it can be changed into a prime (134837) by changing a digit.

134832 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 2518 + ... + 2570.

134832 is a Friedman number, since it can be written as (318^2*4)/3, using all its digits and the basic arithmetic operations.

2134832 is an apocalyptic number.

134832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177506).

134832 is an abundant number, since it is smaller than the sum of its proper divisors (220180).

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

134832 is an equidigital number, since it uses as much as digits as its factorization.

134832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 134832 is about 367.1947712046. The cubic root of 134832 is about 51.2779898664.

The spelling of 134832 in words is "one hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 2809 5618 8427 11236 16854 22472 33708 44944 67416 134832