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12406368 = 253139941
BaseRepresentation
bin101111010100…
…111001100000
3212100022100010
4233110321200
511134000433
61121524520
7210311112
oct57247140
925308303
1012406368
1170040a7
1241a3740
132754c60
14190d3b2
151150e63
hexbd4e60

12406368 has 48 divisors (see below), whose sum is σ = 35075376. Its totient is φ = 3816960.

The previous prime is 12406367. The next prime is 12406369. The reversal of 12406368 is 86360421.

12406368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12406367) and next prime (12406369).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406367) 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, 3723 + ... + 6218.

It is an arithmetic number, because the mean of its divisors is an integer number (730737).

Almost surely, 212406368 is an apocalyptic number.

It is an amenable number.

12406368 is an abundant number, since it is smaller than the sum of its proper divisors (22669008).

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

12406368 is a wasteful number, since it uses less digits than its factorization.

12406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12406368 is about 3522.2674515147. The cubic root of 12406368 is about 231.4985204545.

Adding to 12406368 its reverse (86360421), we get a palindrome (98766789).

The spelling of 12406368 in words is "twelve million, four hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9941 19882 29823 39764 59646 79528 119292 129233 159056 238584 258466 318112 387699 477168 516932 775398 954336 1033864 1550796 2067728 3101592 4135456 6203184 12406368