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235400 = 235211107
BaseRepresentation
bin111001011110001000
3102221220112
4321132020
530013100
65013452
72000204
oct713610
9387815
10235400
11150950
12b4288
13831b9
1461b04
1549b35
hex39788

235400 has 48 divisors (see below), whose sum is σ = 602640. Its totient is φ = 84800.

The previous prime is 235397. The next prime is 235439. The reversal of 235400 is 4532.

235400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2147 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2235400 is an apocalyptic number.

235400 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 235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320).

235400 is an abundant number, since it is smaller than the sum of its proper divisors (367240).

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

235400 is a wasteful number, since it uses less digits than its factorization.

235400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

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

The square root of 235400 is about 485.1803788283. The cubic root of 235400 is about 61.7450508799.

Adding to 235400 its reverse (4532), we get a palindrome (239932).

The spelling of 235400 in words is "two hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23540 29425 47080 58850 117700 235400