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23830014 = 2313271331
BaseRepresentation
bin101101011100…
…1110111111110
31122211200122010
41122321313332
522100030024
62210432050
7406360155
oct132716776
948750563
1023830014
11124a692a
127b92626
134c24800
14324459c
15215ab29
hex16b9dfe

23830014 has 48 divisors (see below), whose sum is σ = 52493184. Its totient is φ = 7207200.

The previous prime is 23830013. The next prime is 23830031. The reversal of 23830014 is 41003832.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23830013) 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, 71829 + ... + 72159.

It is an arithmetic number, because the mean of its divisors is an integer number (1093608).

Almost surely, 223830014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23830014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26246592).

23830014 is an abundant number, since it is smaller than the sum of its proper divisors (28663170).

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

23830014 is a wasteful number, since it uses less digits than its factorization.

23830014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23830014 is about 4881.5995329400. The cubic root of 23830014 is about 287.7672936965.

Adding to 23830014 its reverse (41003832), we get a palindrome (64833846).

The spelling of 23830014 in words is "twenty-three million, eight hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 331 338 426 507 662 923 993 1014 1846 1986 2769 4303 5538 8606 11999 12909 23501 23998 25818 35997 47002 55939 70503 71994 111878 141006 167817 305513 335634 611026 916539 1833078 3971669 7943338 11915007 23830014