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23814 = 23572
BaseRepresentation
bin101110100000110
31012200000
411310012
51230224
6302130
7126300
oct56406
935600
1023814
111698a
1211946
13aabb
148970
1570c9
hex5d06

23814 has 36 divisors (see below), whose sum is σ = 62244. Its totient is φ = 6804.

The previous prime is 23813. The next prime is 23819. The reversal of 23814 is 41832.

It is a happy number.

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

It is an alternating number because its digits alternate between even and odd.

Its product of digits (192) is a multiple of the sum of its prime divisors (12).

It is a Curzon number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23814.

It is not an unprimeable number, because it can be changed into a prime (23813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3399 + ... + 3405.

It is an arithmetic number, because the mean of its divisors is an integer number (1729).

223814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122).

23814 is an abundant number, since it is smaller than the sum of its proper divisors (38430).

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

23814 is an equidigital number, since it uses as much as digits as its factorization.

23814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 12 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 23814 is about 154.3178537953. The cubic root of 23814 is about 28.7702818450.

Adding to 23814 its sum of digits (18), we get a palindrome (23832).

It can be divided in two parts, 238 and 14, that added together give a palindrome (252).

The spelling of 23814 in words is "twenty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3969 7938 11907 23814