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12107136 = 27341769
BaseRepresentation
bin101110001011…
…110110000000
3211210002212110
4232023312000
511044412021
61111255320
7204623526
oct56136600
924702773
1012107136
11691a2a8
12407a540
13267b9b2
141872316
1510e2476
hexb8bd80

12107136 has 64 divisors (see below), whose sum is σ = 32986800. Its totient is φ = 3932160.

The previous prime is 12107129. The next prime is 12107141. The reversal of 12107136 is 63170121.

It is a tau number, because it is divible by the number of its divisors (64).

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, 15360 + ... + 16128.

Almost surely, 212107136 is an apocalyptic number.

12107136 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 12107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493400).

12107136 is an abundant number, since it is smaller than the sum of its proper divisors (20879664).

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

12107136 is an equidigital number, since it uses as much as digits as its factorization.

12107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12107136 is about 3479.5310028796. The cubic root of 12107136 is about 229.6221647758.

Adding to 12107136 its reverse (63170121), we get a palindrome (75277257).

The spelling of 12107136 in words is "twelve million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 769 984 1312 1538 1968 2307 2624 3076 3936 4614 5248 6152 7872 9228 12304 15744 18456 24608 31529 36912 49216 63058 73824 94587 98432 126116 147648 189174 252232 295296 378348 504464 756696 1008928 1513392 2017856 3026784 4035712 6053568 12107136