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12262096 = 2471137269
BaseRepresentation
bin101110110001…
…101011010000
3212001222102201
4232301223100
511114341341
61114452544
7206140360
oct56615320
925058381
1012262096
116a15770
124134154
1327043a2
1418b29a0
151123331
hexbb1ad0

12262096 has 80 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 4631040.

The previous prime is 12262079. The next prime is 12262097. The reversal of 12262096 is 69026221.

12262096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262097) 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, 45450 + ... + 45718.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 212262096 is an apocalyptic number.

12262096 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 12262096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

12262096 is an abundant number, since it is smaller than the sum of its proper divisors (18271664).

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

12262096 is a wasteful number, since it uses less digits than its factorization.

12262096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12262096 is about 3501.7275736413. The cubic root of 12262096 is about 230.5976642517.

The spelling of 12262096 in words is "twelve million, two hundred sixty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 269 296 308 407 518 538 592 616 814 1036 1076 1232 1628 1883 2072 2152 2849 2959 3256 3766 4144 4304 5698 5918 6512 7532 9953 11396 11836 15064 19906 20713 22792 23672 30128 39812 41426 45584 47344 69671 79624 82852 109483 139342 159248 165704 218966 278684 331408 437932 557368 766381 875864 1114736 1532762 1751728 3065524 6131048 12262096