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12105156 = 2237317173
BaseRepresentation
bin101110001011…
…010111000100
3211210000011010
4232023113010
511044331111
61111242220
7204615000
oct56132704
924700133
1012105156
116918868
124079370
13267ab1b
141871700
1510e1aa6
hexb8b5c4

12105156 has 96 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 3236352.

The previous prime is 12105143. The next prime is 12105167. The reversal of 12105156 is 65150121.

12105156 is digitally balanced in base 2, base 4 and base 8, because in such bases 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 (21).

12105156 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69886 + ... + 70058.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 212105156 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 12105156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

12105156 is an abundant number, since it is smaller than the sum of its proper divisors (22973244).

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

12105156 is a wasteful number, since it uses less digits than its factorization.

12105156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 12105156 is about 3479.2464701426. The cubic root of 12105156 is about 229.6096466302.

Adding to 12105156 its reverse (65150121), we get a palindrome (77255277).

The spelling of 12105156 in words is "twelve million, one hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 173 196 204 238 294 343 346 357 476 519 588 686 692 714 833 1029 1038 1211 1372 1428 1666 2058 2076 2422 2499 2941 3332 3633 4116 4844 4998 5831 5882 7266 8477 8823 9996 11662 11764 14532 16954 17493 17646 20587 23324 25431 33908 34986 35292 41174 50862 59339 61761 69972 82348 101724 118678 123522 144109 178017 237356 247044 288218 356034 432327 576436 712068 864654 1008763 1729308 2017526 3026289 4035052 6052578 12105156