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12106908 = 2234114379
BaseRepresentation
bin101110001011…
…110010011100
3211210002120000
4232023302130
511044410113
61111254300
7204623052
oct56136234
924702500
1012106908
11691a110
12407a390
13267b868
1418721d2
1510e2373
hexb8bc9c

12106908 has 120 divisors (see below), whose sum is σ = 35777280. Its totient is φ = 3538080.

The previous prime is 12106903. The next prime is 12106921. The reversal of 12106908 is 80960121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153213 + ... + 153291.

It is an arithmetic number, because the mean of its divisors is an integer number (298144).

Almost surely, 212106908 is an apocalyptic number.

12106908 is a gapful number since it is divisible by the number (18) 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 12106908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888640).

12106908 is an abundant number, since it is smaller than the sum of its proper divisors (23670372).

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

12106908 is a wasteful number, since it uses less digits than its factorization.

12106908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12106908 is about 3479.4982396892. The cubic root of 12106908 is about 229.6207233619.

It can be divided in two parts, 1210 and 6908, that added together give a palindrome (8118).

The spelling of 12106908 in words is "twelve million, one hundred six thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 79 81 86 99 108 129 132 158 162 172 198 237 258 297 316 324 387 396 473 474 516 594 711 774 869 891 946 948 1161 1188 1419 1422 1548 1738 1782 1892 2133 2322 2607 2838 2844 3397 3476 3483 3564 4257 4266 4644 5214 5676 6399 6794 6966 7821 8514 8532 10191 10428 12771 12798 13588 13932 15642 17028 20382 23463 25542 25596 30573 31284 37367 38313 40764 46926 51084 61146 70389 74734 76626 91719 93852 112101 122292 140778 149468 153252 183438 224202 275157 281556 336303 366876 448404 550314 672606 1008909 1100628 1345212 2017818 3026727 4035636 6053454 12106908