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12263968 = 251923877
BaseRepresentation
bin101110110010…
…001000100000
3212002002000001
4232302020200
511114421333
61114505344
7206146003
oct56621040
925062001
1012263968
116a17112
124135254
1327051b2
1418b353a
151123b7d
hexbb2220

12263968 has 48 divisors (see below), whose sum is σ = 26550720. Its totient is φ = 5550336.

The previous prime is 12263963. The next prime is 12263969. The reversal of 12263968 is 86936221.

It is a super-2 number, since 2×122639682 = 300809822210048, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12263963) 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, 13546 + ... + 14422.

It is an arithmetic number, because the mean of its divisors is an integer number (553140).

Almost surely, 212263968 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 12263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275360).

12263968 is an abundant number, since it is smaller than the sum of its proper divisors (14286752).

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

12263968 is a wasteful number, since it uses less digits than its factorization.

12263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 12263968 is about 3501.9948600762. The cubic root of 12263968 is about 230.6093984300.

It can be divided in two parts, 12263 and 968, that added together give a palindrome (13231).

The spelling of 12263968 in words is "twelve million, two hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 877 1748 1754 3496 3508 6992 7016 13984 14032 16663 20171 28064 33326 40342 66652 80684 133304 161368 266608 322736 383249 533216 645472 766498 1532996 3065992 6131984 12263968