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189126 = 23271979
BaseRepresentation
bin101110001011000110
3100121102200
4232023012
522023001
64015330
71415250
oct561306
9317380
10189126
1111a103
1291546
1368112
144ccd0
153b086
hex2e2c6

189126 has 48 divisors (see below), whose sum is σ = 499200. Its totient is φ = 50544.

The previous prime is 189067. The next prime is 189127. The reversal of 189126 is 621981.

189126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 189126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189127) by changing a digit.

189126 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 23 ways as a sum of consecutive naturals, for example, 2355 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

2189126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249600).

189126 is an abundant number, since it is smaller than the sum of its proper divisors (310074).

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

189126 is a wasteful number, since it uses less digits than its factorization.

189126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 189126 is about 434.8861920089. The cubic root of 189126 is about 57.4006855248.

The spelling of 189126 in words is "one hundred eighty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 79 114 126 133 158 171 237 266 342 399 474 553 711 798 1106 1197 1422 1501 1659 2394 3002 3318 4503 4977 9006 9954 10507 13509 21014 27018 31521 63042 94563 189126