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235345120 = 2557120717
BaseRepresentation
bin11100000011100…
…01010011100000
3121101211202210221
432001301103200
5440222020440
635204132424
75555254243
oct1601612340
9541752727
10235345120
111109342aa
1266997114
13399b118a
142338325a
15159dbd4a
hexe0714e0

235345120 has 48 divisors (see below), whose sum is σ = 563861088. Its totient is φ = 92807680.

The previous prime is 235345091. The next prime is 235345129. The reversal of 235345120 is 21543532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235345129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 21718.

It is an arithmetic number, because the mean of its divisors is an integer number (11747106).

Almost surely, 2235345120 is an apocalyptic number.

235345120 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 235345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281930544).

235345120 is an abundant number, since it is smaller than the sum of its proper divisors (328515968).

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

235345120 is a wasteful number, since it uses less digits than its factorization.

235345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803 (or 20795 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 235345120 is about 15340.9621601776. The cubic root of 235345120 is about 617.4025219436.

Adding to 235345120 its reverse (21543532), we get a palindrome (256888652).

The spelling of 235345120 in words is "two hundred thirty-five million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 20717 41434 82868 103585 165736 207170 331472 414340 662944 828680 1470907 1657360 2941814 3314720 5883628 7354535 11767256 14709070 23534512 29418140 47069024 58836280 117672560 235345120