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30256 = 243161
BaseRepresentation
bin111011000110000
31112111121
413120300
51432011
6352024
7154132
oct73060
945447
1030256
1120806
1215614
1310a05
14b052
158e71
hex7630

30256 has 20 divisors (see below), whose sum is σ = 61504. Its totient is φ = 14400.

The previous prime is 30253. The next prime is 30259. The reversal of 30256 is 65203.

It is an interprime number because it is at equal distance from previous prime (30253) and next prime (30259).

30256 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466 + ... + 526.

230256 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 30256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752).

30256 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

30256 is a wasteful number, since it uses less digits than its factorization.

30256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 30256 is about 173.9425192413. The cubic root of 30256 is about 31.1604583451.

30256 divided by its sum of digits (16) gives a triangular number (1891 = T61).

Adding to 30256 its reverse (65203), we get a palindrome (95459).

The spelling of 30256 in words is "thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1891 3782 7564 15128 30256