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12108928 = 271319383
BaseRepresentation
bin101110001100…
…010010000000
3211210012022211
4232030102000
511044441203
61111311504
7204631666
oct56142200
924705284
1012108928
116920687
12407b594
13267c760
141872c36
1510e2c6d
hexb8c480

12108928 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 5280768.

The previous prime is 12108917. The next prime is 12108931. The reversal of 12108928 is 82980121.

It is a happy number.

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

It is a super-2 number, since 2×121089282 = 293252274618368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12108928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31425 + ... + 31807.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 212108928 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 12108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

12108928 is an abundant number, since it is smaller than the sum of its proper divisors (15308672).

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

12108928 is a wasteful number, since it uses less digits than its factorization.

12108928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12108928 is about 3479.7884993200. The cubic root of 12108928 is about 229.6334931532.

The spelling of 12108928 in words is "twelve million, one hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 383 416 494 608 766 832 988 1216 1532 1664 1976 2432 3064 3952 4979 6128 7277 7904 9958 12256 14554 15808 19916 24512 29108 31616 39832 49024 58216 79664 94601 116432 159328 189202 232864 318656 378404 465728 637312 756808 931456 1513616 3027232 6054464 12108928