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12103364 = 2271341811
BaseRepresentation
bin101110001010…
…111011000100
3211202220200202
4232022323010
511044301424
61111230032
7204606530
oct56127304
924686622
1012103364
116917489
124078318
13267a070
141870bc0
1510e12ae
hexb8aec4

12103364 has 48 divisors (see below), whose sum is σ = 26737536. Its totient is φ = 4665600.

The previous prime is 12103363. The next prime is 12103367. The reversal of 12103364 is 46330121.

12103364 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12103364 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12103363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14519 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (557032).

Almost surely, 212103364 is an apocalyptic number.

12103364 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 12103364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368768).

12103364 is an abundant number, since it is smaller than the sum of its proper divisors (14634172).

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

12103364 is a wasteful number, since it uses less digits than its factorization.

12103364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 12103364 is about 3478.9889335840. The cubic root of 12103364 is about 229.5983158994.

Adding to 12103364 its reverse (46330121), we get a palindrome (58433485).

The spelling of 12103364 in words is "twelve million, one hundred three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 811 1066 1148 1622 2132 3244 3731 5677 7462 10543 11354 14924 21086 22708 33251 42172 66502 73801 133004 147602 232757 295204 432263 465514 864526 931028 1729052 3025841 6051682 12103364