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23160 = 2335193
BaseRepresentation
bin101101001111000
31011202210
411221320
51220120
6255120
7124344
oct55170
934683
1023160
1116445
12114a0
13a707
148624
156ce0
hex5a78

23160 has 32 divisors (see below), whose sum is σ = 69840. Its totient is φ = 6144.

The previous prime is 23159. The next prime is 23167. The reversal of 23160 is 6132.

Adding to 23160 its reverse (6132), we get a palindrome (29292).

23160 = T63 + T64 + ... + T72.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

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 23160.

It is not an unprimeable number, because it can be changed into a prime (23167) 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, 24 + ... + 216.

223160 is an apocalyptic number.

23160 is a gapful number since it is divisible by the number (20) 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 23160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34920).

23160 is an abundant number, since it is smaller than the sum of its proper divisors (46680).

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

23160 is a wasteful number, since it uses less digits than its factorization.

23160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23160 is about 152.1840990380. The cubic root of 23160 is about 28.5044622130.

The spelling of 23160 in words is "twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160