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17000 = 235317
BaseRepresentation
bin100001001101000
3212022122
410021220
51021000
6210412
7100364
oct41150
925278
1017000
1111855
129a08
137979
1462a4
155085
hex4268

17000 has 32 divisors (see below), whose sum is σ = 42120. Its totient is φ = 6400.

The previous prime is 16993. The next prime is 17011. The reversal of 17000 is 71.

Adding to 17000 its reverse (71), we get a palindrome (17071).

17000 = T25 + T26 + ... + T48.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 9604 = 86^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

17000 is an undulating number in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 1008.

217000 is an apocalyptic number.

17000 is a gapful number since it is divisible by the number (10) 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 17000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060).

17000 is an abundant number, since it is smaller than the sum of its proper divisors (25120).

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

17000 is a wasteful number, since it uses less digits than its factorization.

17000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 17000 is about 130.3840481041. The cubic root of 17000 is about 25.7128159066.

The spelling of 17000 in words is "seventeen thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000