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23296 = 28713
BaseRepresentation
bin101101100000000
31011221211
411230000
51221141
6255504
7124630
oct55400
934854
1023296
1116559
1211594
13a7b0
1486c0
156d81
hex5b00

23296 has 36 divisors (see below), whose sum is σ = 57232. Its totient is φ = 9216.

The previous prime is 23293. The next prime is 23297. The reversal of 23296 is 69232.

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

Its product of digits (648) is a multiple of the sum of its prime factors (36).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (23291) 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, 1786 + ... + 1798.

223296 is an apocalyptic number.

23296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28616).

23296 is an abundant number, since it is smaller than the sum of its proper divisors (33936).

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

23296 is an equidigital number, since it uses as much as digits as its factorization.

23296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 22 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 23296 is about 152.6302722267. The cubic root of 23296 is about 28.5601479277.

The spelling of 23296 in words is "twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 23296