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235092 = 2231113137
BaseRepresentation
bin111001011001010100
3102221111010
4321121110
530010332
65012220
71666254
oct713124
9387433
10235092
111506a0
12b4070
1383010
1461964
15499cc
hex39654

235092 has 48 divisors (see below), whose sum is σ = 649152. Its totient is φ = 65280.

The previous prime is 235091. The next prime is 235099. The reversal of 235092 is 290532.

235092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

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 235092.

It is not an unprimeable number, because it can be changed into a prime (235091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (13524).

2235092 is an apocalyptic number.

235092 is a gapful number since it is divisible by the number (22) 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 235092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576).

235092 is an abundant number, since it is smaller than the sum of its proper divisors (414060).

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

235092 is a wasteful number, since it uses less digits than its factorization.

235092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 235092 is about 484.8628672109. The cubic root of 235092 is about 61.7181098208.

It can be divided in two parts, 2350 and 92, that added together give a palindrome (2442).

The spelling of 235092 in words is "two hundred thirty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 137 143 156 274 286 411 429 548 572 822 858 1507 1644 1716 1781 3014 3562 4521 5343 6028 7124 9042 10686 18084 19591 21372 39182 58773 78364 117546 235092