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23532 = 2233753
BaseRepresentation
bin101101111101100
31012021120
411233230
51223112
6300540
7125415
oct55754
935246
1023532
1116753
1211750
13a932
14880c
156e8c
hex5bec

23532 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 7488.

The previous prime is 23531. The next prime is 23537.

It can be divided in two parts, 23 and 532, that added together give a palindrome (555).

23532 is nontrivially palindromic in base 10.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23531) 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, 418 + ... + 470.

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

223532 is an apocalyptic number.

It is an amenable number.

23532 is an abundant number, since it is smaller than the sum of its proper divisors (33924).

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 (28728).

23532 is a wasteful number, since it uses less digits than its factorization.

23532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 23532 is about 153.4014341524. The cubic root of 23532 is about 28.6562668844.

The spelling of 23532 in words is "twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 3922 5883 7844 11766 23532