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12164208 = 243741883
BaseRepresentation
bin101110011001…
…110001110000
3211220000011020
4232121301300
511103223313
61112415440
7205252110
oct56316160
924800136
1012164208
116959171
1240a7580
13269b974
141889040
151104323
hexb99c70

12164208 has 80 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 3386880.

The previous prime is 12164179. The next prime is 12164221. The reversal of 12164208 is 80246121.

12164208 is digitally balanced in base 2 and base 4, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13335 + ... + 14217.

Almost surely, 212164208 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 12164208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

12164208 is an abundant number, since it is smaller than the sum of its proper divisors (24666768).

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

12164208 is a wasteful number, since it uses less digits than its factorization.

12164208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12164208 is about 3487.7224660228. The cubic root of 12164208 is about 229.9824057115.

The spelling of 12164208 in words is "twelve million, one hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 883 984 1148 1722 1766 1968 2296 2649 3444 3532 4592 5298 6181 6888 7064 10596 12362 13776 14128 18543 21192 24724 36203 37086 42384 49448 72406 74172 98896 108609 144812 148344 217218 253421 289624 296688 434436 506842 579248 760263 868872 1013684 1520526 1737744 2027368 3041052 4054736 6082104 12164208