Base | Representation |
---|---|
bin | 10110100100100… |
… | …11000100010100 |
3 | 111012021202222100 |
4 | 23102103010110 |
5 | 341433033233 |
6 | 30442202100 |
7 | 4456262232 |
oct | 1322230424 |
9 | 435252870 |
10 | 189346068 |
11 | 9797655a |
12 | 534b3330 |
13 | 302c6bc2 |
14 | 1b20b952 |
15 | 11952813 |
hex | b493114 |
189346068 has 72 divisors (see below), whose sum is σ = 508638312. Its totient is φ = 59185152.
The previous prime is 189346067. The next prime is 189346093. The reversal of 189346068 is 860643981.
189346068 is a `hidden beast` number, since 1 + 8 + 9 + 34 + 606 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 150258564 + 39087504 = 12258^2 + 6252^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (189346067) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279346 + ... + 280022.
It is an arithmetic number, because the mean of its divisors is an integer number (7064421).
Almost surely, 2189346068 is an apocalyptic number.
189346068 is a gapful number since it is divisible by the number (18) 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 189346068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254319156).
189346068 is an abundant number, since it is smaller than the sum of its proper divisors (319292244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189346068 is a wasteful number, since it uses less digits than its factorization.
189346068 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 189346068 is about 13760.3077000480. The cubic root of 189346068 is about 574.2294080726.
It can be divided in two parts, 1893 and 46068, that added together give a square (47961 = 2192).
The spelling of 189346068 in words is "one hundred eighty-nine million, three hundred forty-six thousand, sixty-eight".
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