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23135058 = 235181263
BaseRepresentation
bin101100001000…
…0001101010010
31121112101100000
41120100031102
521410310213
62143510430
7400434102
oct130201522
947471300
1023135058
1112071791
1278b8416
134a403ab
143103202
15206ec73
hex1610352

23135058 has 48 divisors (see below), whose sum is σ = 52468416. Its totient is φ = 7639920.

The previous prime is 23135051. The next prime is 23135059. The reversal of 23135058 is 85053132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23135051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87835 + ... + 88097.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 223135058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234208).

23135058 is an abundant number, since it is smaller than the sum of its proper divisors (29333358).

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

23135058 is a wasteful number, since it uses less digits than its factorization.

23135058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 23135058 is about 4809.8916827721. The cubic root of 23135058 is about 284.9422597709.

The spelling of 23135058 in words is "twenty-three million, one hundred thirty-five thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 263 362 486 526 543 789 1086 1578 1629 2367 3258 4734 4887 7101 9774 14202 14661 21303 29322 42606 43983 47603 63909 87966 95206 127818 142809 285618 428427 856854 1285281 2570562 3855843 7711686 11567529 23135058