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235040 = 25513113
BaseRepresentation
bin111001011000100000
3102221102012
4321120200
530010130
65012052
71666151
oct713040
9387365
10235040
11150653
12b4028
1382ca0
1461928
1549995
hex39620

235040 has 48 divisors (see below), whose sum is σ = 603288. Its totient is φ = 86016.

The previous prime is 235013. The next prime is 235043. The reversal of 235040 is 40532.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 163216 = 268^2 + 404^2 .

It is not an unprimeable number, because it can be changed into a prime (235043) 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, 2024 + ... + 2136.

2235040 is an apocalyptic number.

235040 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 235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

235040 is an abundant number, since it is smaller than the sum of its proper divisors (368248).

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

235040 is a wasteful number, since it uses less digits than its factorization.

235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 235040 is about 484.8092408360. The cubic root of 235040 is about 61.7135590090.

Adding to 235040 its reverse (40532), we get a palindrome (275572).

The spelling of 235040 in words is "two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 113 130 160 208 226 260 416 452 520 565 904 1040 1130 1469 1808 2080 2260 2938 3616 4520 5876 7345 9040 11752 14690 18080 23504 29380 47008 58760 117520 235040