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158364 = 22325383
BaseRepresentation
bin100110101010011100
322001020100
4212222130
520031424
63221100
71226463
oct465234
9261210
10158364
11a8a88
1277790
135710b
14419da
1531dc9
hex26a9c

158364 has 36 divisors (see below), whose sum is σ = 412776. Its totient is φ = 51168.

The previous prime is 158363. The next prime is 158371. The reversal of 158364 is 463851.

158364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 158364.

It is not an unprimeable number, because it can be changed into a prime (158363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1867 + ... + 1949.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2158364 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 158364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

158364 is an abundant number, since it is smaller than the sum of its proper divisors (254412).

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

158364 is a wasteful number, since it uses less digits than its factorization.

158364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 158364 is about 397.9497455710. The cubic root of 158364 is about 54.1026852705.

The spelling of 158364 in words is "one hundred fifty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 159 166 212 249 318 332 477 498 636 747 954 996 1494 1908 2988 4399 8798 13197 17596 26394 39591 52788 79182 158364