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23088 = 2431337
BaseRepresentation
bin101101000110000
31011200010
411220300
51214323
6254520
7124212
oct55060
934603
1023088
111638a
1211440
13a680
1485b2
156c93
hex5a30

23088 has 40 divisors (see below), whose sum is σ = 65968. Its totient is φ = 6912.

The previous prime is 23087. The next prime is 23099. The reversal of 23088 is 88032.

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 7 ways as a sum of consecutive naturals, for example, 606 + ... + 642.

223088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984).

23088 is an abundant number, since it is smaller than the sum of its proper divisors (42880).

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

23088 is a wasteful number, since it uses less digits than its factorization.

23088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23088 is about 151.9473593058. The cubic root of 23088 is about 28.4748932476.

The spelling of 23088 in words is "twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088