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238160 = 24513229
BaseRepresentation
bin111010001001010000
3110002200202
4322021100
530110120
65034332
72011226
oct721120
9402622
10238160
11152a2a
12b59a8
1384530
1462b16
154a875
hex3a250

238160 has 40 divisors (see below), whose sum is σ = 598920. Its totient is φ = 87552.

The previous prime is 238159. The next prime is 238163. The reversal of 238160 is 61832.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 204304 = 184^2 + 452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238163) 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 7 ways as a sum of consecutive naturals, for example, 926 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (14973).

2238160 is an apocalyptic number.

238160 is a gapful number since it is divisible by the number (20) 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 238160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299460).

238160 is an abundant number, since it is smaller than the sum of its proper divisors (360760).

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

238160 is a wasteful number, since it uses less digits than its factorization.

238160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 238160 is about 488.0163931673. The cubic root of 238160 is about 61.9854284174.

Adding to 238160 its reverse (61832), we get a palindrome (299992).

The spelling of 238160 in words is "two hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 229 260 458 520 916 1040 1145 1832 2290 2977 3664 4580 5954 9160 11908 14885 18320 23816 29770 47632 59540 119080 238160