Search a number
-
+
19026 = 2327151
BaseRepresentation
bin100101001010010
3222002200
410221102
51102101
6224030
7106320
oct45122
928080
1019026
1113327
12b016
138877
146d10
155986
hex4a52

19026 has 24 divisors (see below), whose sum is σ = 47424. Its totient is φ = 5400.

The previous prime is 19013. The next prime is 19031. The reversal of 19026 is 62091.

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

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 3 and base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (1976).

19026 is a Friedman number, since it can be written as 906*21, using all its digits and the basic arithmetic operations.

219026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712).

19026 is an abundant number, since it is smaller than the sum of its proper divisors (28398).

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

19026 is a wasteful number, since it uses less digits than its factorization.

19026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19026 is about 137.9347671909. The cubic root of 19026 is about 26.6961825961.

Adding to 19026 its sum of digits (18), we get a square (19044 = 1382).

It can be divided in two parts, 190 and 26, that added together give a cube (216 = 63).

The spelling of 19026 in words is "nineteen thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 906 1057 1359 2114 2718 3171 6342 9513 19026