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23681268 = 223313101167
BaseRepresentation
bin101101001010…
…1100011110100
31122120010121000
41122111203310
522030300033
62203323300
7405200412
oct132254364
948503530
1023681268
11124050a6
127b20530
134ba1bb0
1432062b2
15212ba13
hex16958f4

23681268 has 96 divisors (see below), whose sum is σ = 67173120. Its totient is φ = 7171200.

The previous prime is 23681257. The next prime is 23681299. The reversal of 23681268 is 86218632.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141721 + ... + 141887.

It is an arithmetic number, because the mean of its divisors is an integer number (699720).

Almost surely, 223681268 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 23681268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33586560).

23681268 is an abundant number, since it is smaller than the sum of its proper divisors (43491852).

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

23681268 is a wasteful number, since it uses less digits than its factorization.

23681268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23681268 is about 4866.3403086919. The cubic root of 23681268 is about 287.1672995774.

The spelling of 23681268 in words is "twenty-three million, six hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 101 108 117 156 167 202 234 303 334 351 404 468 501 606 668 702 909 1002 1212 1313 1404 1503 1818 2004 2171 2626 2727 3006 3636 3939 4342 4509 5252 5454 6012 6513 7878 8684 9018 10908 11817 13026 15756 16867 18036 19539 23634 26052 33734 35451 39078 47268 50601 58617 67468 70902 78156 101202 117234 141804 151803 202404 219271 234468 303606 438542 455409 607212 657813 877084 910818 1315626 1821636 1973439 2631252 3946878 5920317 7893756 11840634 23681268