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23135958 = 23219611109
BaseRepresentation
bin101100001000…
…0011011010110
31121112102120100
41120100123112
521410322313
62143514530
7400436526
oct130203326
947472510
1023135958
111207242a
1278b8a46
134a40921
143103686
152070173
hex16106d6

23135958 has 48 divisors (see below), whose sum is σ = 53679600. Its totient is φ = 7179840.

The previous prime is 23135947. The next prime is 23135993. The reversal of 23135958 is 85953132.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20308 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (1118325).

Almost surely, 223135958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26839800).

23135958 is an abundant number, since it is smaller than the sum of its proper divisors (30543642).

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

23135958 is a wasteful number, since it uses less digits than its factorization.

23135958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1194 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 23135958 is about 4809.9852390626. The cubic root of 23135958 is about 284.9459546642.

It can be divided in two parts, 23 and 135958, that added together give a triangular number (135981 = T521).

The spelling of 23135958 in words is "twenty-three million, one hundred thirty-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1109 1159 2218 2318 3327 3477 6654 6954 9981 10431 19962 20862 21071 42142 63213 67649 126426 135298 189639 202947 379278 405894 608841 1217682 1285331 2570662 3855993 7711986 11567979 23135958