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12708 = 2232353
BaseRepresentation
bin11000110100100
3122102200
43012210
5401313
6134500
752023
oct30644
918380
1012708
119603
127430
135a27
1448ba
153b73
hex31a4

12708 has 18 divisors (see below), whose sum is σ = 32214. Its totient is φ = 4224.

The previous prime is 12703. The next prime is 12713. The reversal of 12708 is 80721.

It is an interprime number because it is at equal distance from previous prime (12703) and next prime (12713).

It can be written as a sum of positive squares in only one way, i.e., 10404 + 2304 = 102^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×127082 = 322986528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703) by changing a digit.

12708 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 in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 212.

212708 is an apocalyptic number.

12708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12708 is an abundant number, since it is smaller than the sum of its proper divisors (19506).

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

12708 is a wasteful number, since it uses less digits than its factorization.

12708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12708 is about 112.7297653683. The cubic root of 12708 is about 23.3359634224.

The spelling of 12708 in words is "twelve thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 12708