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23056 = 2411131
BaseRepresentation
bin101101000010000
31011121221
411220100
51214211
6254424
7124135
oct55020
934557
1023056
1116360
1211414
13a657
14858c
156c71
hex5a10

23056 has 20 divisors (see below), whose sum is σ = 49104. Its totient is φ = 10400.

The previous prime is 23053. The next prime is 23057. The reversal of 23056 is 65032.

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

It is a d-powerful number, because it can be written as 25 + 39 + 0 + 55 + 63 .

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

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (23053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 241.

223056 is an apocalyptic number.

23056 is the 88-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552).

23056 is an abundant number, since it is smaller than the sum of its proper divisors (26048).

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

23056 is a wasteful number, since it uses less digits than its factorization.

23056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

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

The square root of 23056 is about 151.8420231688. The cubic root of 23056 is about 28.4617317512.

23056 divided by its sum of digits (16) gives a palindrome (1441).

Adding to 23056 its reverse (65032), we get a palindrome (88088).

It can be divided in two parts, 230 and 56, that multiplied together give a triangular number (12880 = T160).

The spelling of 23056 in words is "twenty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5764 11528 23056