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12163008 = 2631113443
BaseRepresentation
bin101110011001…
…011111000000
3211212221111210
4232121133000
511103204013
61112410120
7205245444
oct56313700
924787453
1012163008
116958280
1240a6940
13269b260
141888824
151103cc3
hexb997c0

12163008 has 112 divisors (see below), whose sum is σ = 37892736. Its totient is φ = 3394560.

The previous prime is 12163003. The next prime is 12163009. The reversal of 12163008 is 80036121.

12163008 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12163001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27235 + ... + 27677.

It is an arithmetic number, because the mean of its divisors is an integer number (338328).

Almost surely, 212163008 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 12163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946368).

12163008 is an abundant number, since it is smaller than the sum of its proper divisors (25729728).

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

12163008 is a wasteful number, since it uses less digits than its factorization.

12163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12163008 is about 3487.5504297429. The cubic root of 12163008 is about 229.9748428691.

Adding to 12163008 its reverse (80036121), we get a palindrome (92199129).

It can be divided in two parts, 1216 and 3008, that added together give a palindrome (4224).

The spelling of 12163008 in words is "twelve million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 443 528 572 624 704 832 858 886 1056 1144 1248 1329 1716 1772 2112 2288 2496 2658 3432 3544 4576 4873 5316 5759 6864 7088 9152 9746 10632 11518 13728 14176 14619 17277 19492 21264 23036 27456 28352 29238 34554 38984 42528 46072 58476 63349 69108 77968 85056 92144 116952 126698 138216 155936 184288 190047 233904 253396 276432 311872 368576 380094 467808 506792 552864 760188 935616 1013584 1105728 1520376 2027168 3040752 4054336 6081504 12163008