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23064 = 233312
BaseRepresentation
bin101101000011000
31011122020
411220120
51214224
6254440
7124146
oct55030
934566
1023064
1116368
1211420
13a662
148596
156c79
hex5a18

23064 has 24 divisors (see below), whose sum is σ = 59580. Its totient is φ = 7440.

The previous prime is 23063. The next prime is 23071. The reversal of 23064 is 46032.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729 + ... + 759.

223064 is an apocalyptic number.

23064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29790).

23064 is an abundant number, since it is smaller than the sum of its proper divisors (36516).

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

23064 is a wasteful number, since it uses less digits than its factorization.

23064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23064 is about 151.8683640526. The cubic root of 23064 is about 28.4650232664.

Adding to 23064 its reverse (46032), we get a palindrome (69096).

The spelling of 23064 in words is "twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 11532 23064