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239168 = 2637101
BaseRepresentation
bin111010011001000000
3110011002002
4322121000
530123133
65043132
72014166
oct723100
9404062
10239168
11153766
12b64a8
1384b27
1463236
154ace8
hex3a640

239168 has 28 divisors (see below), whose sum is σ = 492252. Its totient is φ = 115200.

The previous prime is 239167. The next prime is 239171. The reversal of 239168 is 861932.

239168 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 16384 = 472^2 + 128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 239168.

It is not an unprimeable number, because it can be changed into a prime (239167) 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, 2318 + ... + 2418.

2239168 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 239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246126).

239168 is an abundant number, since it is smaller than the sum of its proper divisors (253084).

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

239168 is a wasteful number, since it uses less digits than its factorization.

239168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 239168 is about 489.0480548985. The cubic root of 239168 is about 62.0727553809.

The spelling of 239168 in words is "two hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 101 148 202 296 404 592 808 1184 1616 2368 3232 3737 6464 7474 14948 29896 59792 119584 239168