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12105996 = 2237314649
BaseRepresentation
bin101110001011…
…100100001100
3211210001022020
4232023210030
511044342441
61111250140
7204620310
oct56134414
924701266
1012105996
116919461
124079950
13267b316
141871b40
1510e1e66
hexb8b90c

12105996 has 48 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 3346560.

The previous prime is 12105979. The next prime is 12106009. The reversal of 12105996 is 69950121.

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 15 ways as a sum of consecutive naturals, for example, 280 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 212105996 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 12105996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

12105996 is an abundant number, since it is smaller than the sum of its proper divisors (21225204).

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

12105996 is a wasteful number, since it uses less digits than its factorization.

12105996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 12105996 is about 3479.3671838425. The cubic root of 12105996 is about 229.6149575253.

The spelling of 12105996 in words is "twelve million, one hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4649 9298 13947 18596 27894 32543 55788 65086 97629 130172 144119 195258 288238 390516 432357 576476 864714 1008833 1729428 2017666 3026499 4035332 6052998 12105996