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17052 = 2237229
BaseRepresentation
bin100001010011100
3212101120
410022130
51021202
6210540
7100500
oct41234
925346
1017052
11118a2
129a50
1379b9
146300
1550bc
hex429c

17052 has 36 divisors (see below), whose sum is σ = 47880. Its totient is φ = 4704.

The previous prime is 17047. The next prime is 17053. The reversal of 17052 is 25071.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17052.

It is not an unprimeable number, because it can be changed into a prime (17053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

217052 is an apocalyptic number.

17052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

17052 is an abundant number, since it is smaller than the sum of its proper divisors (30828).

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

17052 is a wasteful number, since it uses less digits than its factorization.

17052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 17052 is about 130.5833067432. The cubic root of 17052 is about 25.7390062096.

It can be divided in two parts, 170 and 52, that added together give a palindrome (222).

The spelling of 17052 in words is "seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 17052