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12263104 = 26731883
BaseRepresentation
bin101110110001…
…111011000000
3212002000211001
4232301323000
511114404404
61114501344
7206143330
oct56617300
925060731
1012263104
116a164a7
124134854
132704999
1418b30c0
1511237a4
hexbb1ec0

12263104 has 56 divisors (see below), whose sum is σ = 28740608. Its totient is φ = 5080320.

The previous prime is 12263101. The next prime is 12263123. The reversal of 12263104 is 40136221.

12263104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (12263101) 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, 13447 + ... + 14329.

Almost surely, 212263104 is an apocalyptic number.

12263104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370304).

12263104 is an abundant number, since it is smaller than the sum of its proper divisors (16477504).

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

12263104 is an equidigital number, since it uses as much as digits as its factorization.

12263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12263104 is about 3501.8714996413. The cubic root of 12263104 is about 230.6039828038.

Adding to 12263104 its reverse (40136221), we get a palindrome (52399325).

The spelling of 12263104 in words is "twelve million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 883 992 1736 1766 1984 3472 3532 6181 6944 7064 12362 13888 14128 24724 27373 28256 49448 54746 56512 98896 109492 191611 197792 218984 383222 395584 437968 766444 875936 1532888 1751872 3065776 6131552 12263104