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238140 = 2235572
BaseRepresentation
bin111010001000111100
3110002200000
4322020330
530110030
65034300
72011200
oct721074
9402600
10238140
11152a11
12b5990
1384516
1462b00
154a860
hex3a23c

238140 has 108 divisors (see below), whose sum is σ = 871416. Its totient is φ = 54432.

The previous prime is 238109. The next prime is 238141. The reversal of 238140 is 41832.

It is a happy number.

238140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238140.

It is not an unprimeable number, because it can be changed into a prime (238141) by changing a digit.

238140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34017 + ... + 34023.

2238140 is an apocalyptic number.

238140 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 238140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

238140 is an abundant number, since it is smaller than the sum of its proper divisors (633276).

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

238140 is a wasteful number, since it uses less digits than its factorization.

238140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 238140 is about 487.9959016221. The cubic root of 238140 is about 61.9836932488.

Adding to 238140 its reverse (41832), we get a palindrome (279972).

It can be divided in two parts, 238 and 140, that added together give a triangular number (378 = T27).

The spelling of 238140 in words is "two hundred thirty-eight thousand, one hundred forty".