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BaseRepresentation
bin101101001010100
31011201110
411221110
51214444
6255020
7124263
oct55124
934643
1023124
1116412
1211470
13a6aa
1485da
156cb9
hex5a54

23124 has 24 divisors (see below), whose sum is σ = 56448. Its totient is φ = 7360.

The previous prime is 23117. The next prime is 23131. The reversal of 23124 is 42132.

Adding to 23124 its reverse (42132), we get a palindrome (65256).

23124 = T72 + T73 + ... + T79.

23124 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (23117) and next prime (23131).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 469 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

223124 is an apocalyptic number.

It is an amenable number.

23124 is an abundant number, since it is smaller than the sum of its proper divisors (33324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

23124 is a wasteful number, since it uses less digits than its factorization.

23124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 23124 is about 152.0657752422. The cubic root of 23124 is about 28.4896854026.

The spelling of 23124 in words is "twenty-three thousand, one hundred twenty-four", and thus it is an iban number.