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12608 = 26197
BaseRepresentation
bin11000101000000
3122021222
43011000
5400413
6134212
751521
oct30500
918258
1012608
119522
127368
13597b
144848
153b08
hex3140

12608 has 14 divisors (see below), whose sum is σ = 25146. Its totient is φ = 6272.

The previous prime is 12601. The next prime is 12611. The reversal of 12608 is 80621.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 64 = 112^2 + 8^2 .

12608 is an undulating number in base 14.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12601) by changing a digit.

12608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35 + ... + 162.

212608 is an apocalyptic number.

It is an amenable number.

12608 is a deficient number, since it is larger than the sum of its proper divisors (12538).

12608 is an equidigital number, since it uses as much as digits as its factorization.

12608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12608 is about 112.2853507809. The cubic root of 12608 is about 23.2745914700.

The spelling of 12608 in words is "twelve thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 197 394 788 1576 3152 6304 12608