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19323 = 3219113
BaseRepresentation
bin100101101111011
3222111200
410231323
51104243
6225243
7110223
oct45573
928450
1019323
1113577
12b223
138a45
147083
155ad3
hex4b7b

19323 has 12 divisors (see below), whose sum is σ = 29640. Its totient is φ = 12096.

The previous prime is 19319. The next prime is 19333. The reversal of 19323 is 32391.

It is not a de Polignac number, because 19323 - 22 = 19319 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

19323 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 19296 and 19305.

It is not an unprimeable number, because it can be changed into a prime (19333) 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, 115 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2470).

219323 is an apocalyptic number.

19323 is a deficient number, since it is larger than the sum of its proper divisors (10317).

19323 is a wasteful number, since it uses less digits than its factorization.

19323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 19323 is about 139.0071940584. The cubic root of 19323 is about 26.8343770625.

It can be divided in two parts, 193 and 23, that added together give a cube (216 = 63).

The spelling of 19323 in words is "nineteen thousand, three hundred twenty-three".

Divisors: 1 3 9 19 57 113 171 339 1017 2147 6441 19323