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23004 = 223471
BaseRepresentation
bin101100111011100
31011120000
411213130
51214004
6254300
7124032
oct54734
934500
1023004
1116313
1211390
13a617
148552
156c39
hex59dc

23004 has 30 divisors (see below), whose sum is σ = 60984. Its totient is φ = 7560.

The previous prime is 23003. The next prime is 23011. The reversal of 23004 is 40032.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 289 + ... + 359.

223004 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 23004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492).

23004 is an abundant number, since it is smaller than the sum of its proper divisors (37980).

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

23004 is a wasteful number, since it uses less digits than its factorization.

23004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23004 is about 151.6706959172. The cubic root of 23004 is about 28.4403183215.

Adding to 23004 its reverse (40032), we get a palindrome (63036).

It can be divided in two parts, 2300 and 4, that added together give a square (2304 = 482).

The spelling of 23004 in words is "twenty-three thousand, four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 11502 23004