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23085 = 35519
BaseRepresentation
bin101101000101101
31011200000
411220231
51214320
6254513
7124206
oct55055
934600
1023085
1116387
1211439
13a67a
1485ad
156c90
hex5a2d

23085 has 24 divisors (see below), whose sum is σ = 43680. Its totient is φ = 11664.

The previous prime is 23081. The next prime is 23087. The reversal of 23085 is 58032.

23085 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 23085 - 22 = 23081 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.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

223085 is an apocalyptic number.

It is an amenable number.

23085 is a deficient number, since it is larger than the sum of its proper divisors (20595).

23085 is an equidigital number, since it uses as much as digits as its factorization.

23085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23085 is about 151.9374871452. The cubic root of 23085 is about 28.4736598741.

The spelling of 23085 in words is "twenty-three thousand, eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 855 1215 1539 2565 4617 7695 23085