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23265968 = 2411163811
BaseRepresentation
bin101100011000…
…0001010110000
31121210000220112
41120300022300
521424002333
62150400452
7401520545
oct130601260
947700815
1023265968
1112151080
127960128
134a87b5b
143138bcc
152098948
hex16302b0

23265968 has 40 divisors (see below), whose sum is σ = 49538496. Its totient is φ = 10497600.

The previous prime is 23265961. The next prime is 23265971. The reversal of 23265968 is 86956232.

It is not an unprimeable number, because it can be changed into a prime (23265961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28283 + ... + 29093.

Almost surely, 223265968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23265968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769248).

23265968 is an abundant number, since it is smaller than the sum of its proper divisors (26272528).

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

23265968 is a wasteful number, since it uses less digits than its factorization.

23265968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 23265968 is about 4823.4809007604. The cubic root of 23265968 is about 285.4786989423.

The spelling of 23265968 in words is "twenty-three million, two hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 163 176 326 652 811 1304 1622 1793 2608 3244 3586 6488 7172 8921 12976 14344 17842 28688 35684 71368 132193 142736 264386 528772 1057544 1454123 2115088 2908246 5816492 11632984 23265968