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17020 = 2252337
BaseRepresentation
bin100001001111100
3212100101
410021330
51021040
6210444
7100423
oct41174
925311
1017020
1111873
129a24
137993
1462ba
15509a
hex427c

17020 has 24 divisors (see below), whose sum is σ = 38304. Its totient is φ = 6336.

The previous prime is 17011. The next prime is 17021. The reversal of 17020 is 2071.

17020 = T80 + T81 + ... + T84.

17020 is a nontrivial binomial coefficient, being equal to C(185, 2).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 16988 and 17006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

217020 is an apocalyptic number.

17020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17020 is the 184-th triangular number.

17020 is the 62-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152).

17020 is an abundant number, since it is smaller than the sum of its proper divisors (21284).

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

17020 is a wasteful number, since it uses less digits than its factorization.

17020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 17020 is about 130.4607220584. The cubic root of 17020 is about 25.7228954121.

Adding to 17020 its reverse (2071), we get a palindrome (19091).

It can be divided in two parts, 170 and 20, that added together give a triangular number (190 = T19).

The spelling of 17020 in words is "seventeen thousand, twenty", and thus it is an iban number.