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12268008 = 2332170389
BaseRepresentation
bin101110110011…
…000111101000
3212002021112200
4232303013220
511120034013
61114540200
7206163534
oct56630750
925067480
1012268008
116a1a155
124137660
132706c9c
1418b4bc4
151124e73
hexbb31e8

12268008 has 24 divisors (see below), whose sum is σ = 33226050. Its totient is φ = 4089312.

The previous prime is 12267973. The next prime is 12268013. The reversal of 12268008 is 80086221.

It can be written as a sum of positive squares in only one way, i.e., 11009124 + 1258884 = 3318^2 + 1122^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 85123 + ... + 85266.

Almost surely, 212268008 is an apocalyptic number.

12268008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12268008 is an abundant number, since it is smaller than the sum of its proper divisors (20958042).

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

12268008 is a wasteful number, since it uses less digits than its factorization.

12268008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170401 (or 170394 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12268008 is about 3502.5716266766. The cubic root of 12268008 is about 230.6347181222.

The spelling of 12268008 in words is "twelve million, two hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 170389 340778 511167 681556 1022334 1363112 1533501 2044668 3067002 4089336 6134004 12268008