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158112 = 253461
BaseRepresentation
bin100110100110100000
322000220000
4212212200
520024422
63220000
71225653
oct464640
9260800
10158112
11a8879
1277600
1356c76
144189a
1531cac
hex269a0

158112 has 60 divisors (see below), whose sum is σ = 472626. Its totient is φ = 51840.

The previous prime is 158077. The next prime is 158113. The reversal of 158112 is 211851.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 1296 = 396^2 + 36^2 .

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

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (158113) by changing a digit.

158112 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 9 ways as a sum of consecutive naturals, for example, 2562 + ... + 2622.

2158112 is an apocalyptic number.

158112 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 158112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236313).

158112 is an abundant number, since it is smaller than the sum of its proper divisors (314514).

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

158112 is an equidigital number, since it uses as much as digits as its factorization.

158112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 158112 is about 397.6329966187. The cubic root of 158112 is about 54.0739726952.

Adding to 158112 its reverse (211851), we get a palindrome (369963).

The spelling of 158112 in words is "one hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 732 864 976 1098 1296 1464 1647 1952 2196 2592 2928 3294 4392 4941 5856 6588 8784 9882 13176 17568 19764 26352 39528 52704 79056 158112