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12393696 = 253718443
BaseRepresentation
bin101111010001…
…110011100000
3212022122221210
4233101303200
511133044241
61121350120
7210226140
oct57216340
925278853
1012393696
116aa5627
124198340
13274c263
141908920
15114c316
hexbd1ce0

12393696 has 48 divisors (see below), whose sum is σ = 37183104. Its totient is φ = 3540864.

The previous prime is 12393683. The next prime is 12393739. The reversal of 12393696 is 69639321.

12393696 is digitally balanced in base 2 and base 8, because in such bases 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 (48).

12393696 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8550 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (774648).

Almost surely, 212393696 is an apocalyptic number.

12393696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12393696 is an abundant number, since it is smaller than the sum of its proper divisors (24789408).

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

12393696 is a wasteful number, since it uses less digits than its factorization.

12393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18463 (or 18455 counting only the distinct ones).

The product of its digits is 52488, while the sum is 39.

The square root of 12393696 is about 3520.4681506868. The cubic root of 12393696 is about 231.4196752301.

The spelling of 12393696 in words is "twelve million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18443 36886 55329 73772 110658 129101 147544 221316 258202 295088 387303 442632 516404 590176 774606 885264 1032808 1549212 1770528 2065616 3098424 4131232 6196848 12393696