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17028 = 22321143
BaseRepresentation
bin100001010000100
3212100200
410022010
51021103
6210500
7100434
oct41204
925320
1017028
1111880
129a30
13799b
1462c4
1550a3
hex4284

17028 has 36 divisors (see below), whose sum is σ = 48048. Its totient is φ = 5040.

The previous prime is 17027. The next prime is 17029. The reversal of 17028 is 82071.

It is an interprime number because it is at equal distance from previous prime (17027) and next prime (17029).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 17028.

It is not an unprimeable number, because it can be changed into a prime (17021) 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, 375 + ... + 417.

217028 is an apocalyptic number.

17028 is a gapful number since it is divisible by the number (18) 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 17028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24024).

17028 is an abundant number, since it is smaller than the sum of its proper divisors (31020).

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

17028 is a wasteful number, since it uses less digits than its factorization.

17028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

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

The square root of 17028 is about 130.4913790256. The cubic root of 17028 is about 25.7269250034.

17028 divided by its sum of digits (18) gives a triangular number (946 = T43).

Adding to 17028 its reverse (82071), we get a palindrome (99099).

The spelling of 17028 in words is "seventeen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028