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12267696 = 2437291259
BaseRepresentation
bin101110110011…
…000010110000
3212002021010010
4232303002300
511120031241
61114534520
7206162610
oct56630260
925067103
1012267696
116a199a1
124137440
132706abc
1418b4a40
151124d16
hexbb30b0

12267696 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3381504.

The previous prime is 12267691. The next prime is 12267701. The reversal of 12267696 is 69676221.

It is an interprime number because it is at equal distance from previous prime (12267691) and next prime (12267701).

It is not an unprimeable number, because it can be changed into a prime (12267691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9115 + ... + 10373.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 212267696 is an apocalyptic number.

12267696 is a gapful number since it is divisible by the number (16) 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 12267696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12267696 is an abundant number, since it is smaller than the sum of its proper divisors (25229904).

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

12267696 is a wasteful number, since it uses less digits than its factorization.

12267696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 12267696 is about 3502.5270876897. The cubic root of 12267696 is about 230.6327629381.

The spelling of 12267696 in words is "twelve million, two hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1259 1392 1624 2436 2518 3248 3777 4872 5036 7554 8813 9744 10072 15108 17626 20144 26439 30216 35252 36511 52878 60432 70504 73022 105756 109533 141008 146044 211512 219066 255577 292088 423024 438132 511154 584176 766731 876264 1022308 1533462 1752528 2044616 3066924 4089232 6133848 12267696