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30056 = 2313172
BaseRepresentation
bin111010101101000
31112020012
413111220
51430211
6351052
7153425
oct72550
945205
1030056
1120644
1215488
13108b0
14ad4c
158d8b
hex7568

30056 has 24 divisors (see below), whose sum is σ = 64470. Its totient is φ = 13056.

The previous prime is 30047. The next prime is 30059. The reversal of 30056 is 65003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27556 + 2500 = 166^2 + 50^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30056.

It is not an unprimeable number, because it can be changed into a prime (30059) by changing a digit.

30056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1760 + ... + 1776.

230056 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 30056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235).

30056 is an abundant number, since it is smaller than the sum of its proper divisors (34414).

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

30056 is a wasteful number, since it uses less digits than its factorization.

30056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 30056 is about 173.3666634622. The cubic root of 30056 is about 31.0916469332.

Adding to 30056 its reverse (65003), we get a palindrome (95059).

The spelling of 30056 in words is "thirty thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 7514 15028 30056