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12663168 = 27372673
BaseRepresentation
bin110000010011…
…100110000000
3212211100121020
4300103212000
511220210133
61131225440
7212430600
oct60234600
925740536
1012663168
11716a031
1242a8280
132814acb
141978c00
1511a20b3
hexc13980

12663168 has 96 divisors (see below), whose sum is σ = 39186360. Its totient is φ = 3612672.

The previous prime is 12663143. The next prime is 12663191. The reversal of 12663168 is 86136621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18480 + ... + 19152.

Almost surely, 212663168 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 12663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593180).

12663168 is an abundant number, since it is smaller than the sum of its proper divisors (26523192).

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

12663168 is an equidigital number, since it uses as much as digits as its factorization.

12663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 12663168 is about 3558.5345298311. The cubic root of 12663168 is about 233.0848911200.

Adding to 12663168 its reverse (86136621), we get a palindrome (98799789).

The spelling of 12663168 in words is "twelve million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 673 784 896 1176 1344 1346 1568 2019 2352 2688 2692 3136 4038 4704 4711 5384 6272 8076 9408 9422 10768 14133 16152 18816 18844 21536 28266 32304 32977 37688 43072 56532 64608 65954 75376 86144 98931 113064 129216 131908 150752 197862 226128 258432 263816 301504 395724 452256 527632 603008 791448 904512 1055264 1582896 1809024 2110528 3165792 4221056 6331584 12663168