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30252 = 2232521
BaseRepresentation
bin111011000101100
31112111110
413120230
51432002
6352020
7154125
oct73054
945443
1030252
1120802
1215610
1310a01
14b04c
158e6c
hex762c

30252 has 12 divisors (see below), whose sum is σ = 70616. Its totient is φ = 10080.

The previous prime is 30241. The next prime is 30253. The reversal of 30252 is 25203.

Adding to 30252 its reverse (25203), we get a palindrome (55455).

It can be divided in two parts, 30 and 252, that added together give a palindrome (282).

30252 is nontrivially palindromic in base 11 and base 13.

30252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2521 = 30252 / (3 + 0 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1249 + ... + 1272.

230252 is an apocalyptic number.

It is an amenable number.

30252 is an abundant number, since it is smaller than the sum of its proper divisors (40364).

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 (35308).

30252 is a wasteful number, since it uses less digits than its factorization.

30252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

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

The square root of 30252 is about 173.9310208100. The cubic root of 30252 is about 31.1590850932.

The spelling of 30252 in words is "thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 2521 5042 7563 10084 15126 30252