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12272096 = 251721327
BaseRepresentation
bin101110110100…
…000111100000
3212002111011002
4232310013200
511120201341
61115011132
7206211464
oct56640740
925074132
1012272096
116a22231
124139aa8
132708ac5
1418b64a4
15112629b
hexbb41e0

12272096 has 36 divisors (see below), whose sum is σ = 25684848. Its totient is φ = 5770752.

The previous prime is 12272093. The next prime is 12272129. The reversal of 12272096 is 69027221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272093) 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 5 ways as a sum of consecutive naturals, for example, 8585 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (713468).

Almost surely, 212272096 is an apocalyptic number.

12272096 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 12272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842424).

12272096 is an abundant number, since it is smaller than the sum of its proper divisors (13412752).

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

12272096 is a wasteful number, since it uses less digits than its factorization.

12272096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12272096 is about 3503.1551492904. The cubic root of 12272096 is about 230.6603329849.

The spelling of 12272096 in words is "twelve million, two hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1327 2312 2654 4624 5308 9248 10616 21232 22559 42464 45118 90236 180472 360944 383503 721888 767006 1534012 3068024 6136048 12272096