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17412 = 2231451
BaseRepresentation
bin100010000000100
3212212220
410100010
51024122
6212340
7101523
oct42004
925786
1017412
111209a
12a0b0
137c05
1464ba
15525c
hex4404

17412 has 12 divisors (see below), whose sum is σ = 40656. Its totient is φ = 5800.

The previous prime is 17401. The next prime is 17417. The reversal of 17412 is 21471.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 17391 and 17400.

It is not an unprimeable number, because it can be changed into a prime (17417) by changing a digit.

17412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

217412 is an apocalyptic number.

17412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

17412 is an abundant number, since it is smaller than the sum of its proper divisors (23244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328).

17412 is a wasteful number, since it uses less digits than its factorization.

17412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1456 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 17412 is about 131.9545376257. The cubic root of 17412 is about 25.9188793144.

Adding to 17412 its reverse (21471), we get a palindrome (38883).

The spelling of 17412 in words is "seventeen thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 1451 2902 4353 5804 8706 17412