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12135104 = 261271493
BaseRepresentation
bin101110010010…
…101011000000
3211211112020022
4232102223000
511101310404
61112033012
7205101212
oct56225300
924745208
1012135104
116939313
124092768
13268b647
14187c5b2
1510ea8be
hexb92ac0

12135104 has 28 divisors (see below), whose sum is σ = 24286464. Its totient is φ = 6015744.

The previous prime is 12135103. The next prime is 12135113. The reversal of 12135104 is 40153121.

12135104 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (12135103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7382 + ... + 8874.

Almost surely, 212135104 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 12135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143232).

12135104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12135104 is a wasteful number, since it uses less digits than its factorization.

12135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12135104 is about 3483.5476170134. The cubic root of 12135104 is about 229.7988411302.

Adding to 12135104 its reverse (40153121), we get a palindrome (52288225).

The spelling of 12135104 in words is "twelve million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1493 2032 2986 4064 5972 8128 11944 23888 47776 95552 189611 379222 758444 1516888 3033776 6067552 12135104