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23052 = 22317113
BaseRepresentation
bin101101000001100
31011121210
411220030
51214202
6254420
7124131
oct55014
934553
1023052
1116357
1211410
13a653
148588
156c6c
hex5a0c

23052 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 7168.

The previous prime is 23041. The next prime is 23053. The reversal of 23052 is 25032.

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

It is an alternating number because its digits alternate between even and odd.

23052 is an undulating number in base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23053) 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, 148 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

223052 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 23052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728).

23052 is an abundant number, since it is smaller than the sum of its proper divisors (34404).

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

23052 is a wasteful number, since it uses less digits than its factorization.

23052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23052 is about 151.8288510132. The cubic root of 23052 is about 28.4600857081.

Adding to 23052 its reverse (25032), we get a palindrome (48084).

It can be divided in two parts, 230 and 52, that added together give a palindrome (282).

The spelling of 23052 in words is "twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 11526 23052