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12636112 = 2429113241
BaseRepresentation
bin110000001100…
…111111010000
3212202222111011
4300030333100
511213323422
61130500304
7212255656
oct60147720
925688434
1012636112
117150775
124294694
1328056b8
14196cdd6
151199077
hexc0cfd0

12636112 has 40 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 6021120.

The previous prime is 12636103. The next prime is 12636139. The reversal of 12636112 is 21163621.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 12082576 = 744^2 + 3476^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52312 + ... + 52552.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 212636112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12636112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828420).

12636112 is an abundant number, since it is smaller than the sum of its proper divisors (13020728).

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

12636112 is a wasteful number, since it uses less digits than its factorization.

12636112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 12636112 is about 3554.7309321522. The cubic root of 12636112 is about 232.9187704591.

Adding to 12636112 its reverse (21163621), we get a palindrome (33799733).

The spelling of 12636112 in words is "twelve million, six hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 241 452 464 482 904 964 1808 1928 3277 3856 6554 6989 13108 13978 26216 27233 27956 52432 54466 55912 108932 111824 217864 435728 789757 1579514 3159028 6318056 12636112