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17130 = 235571
BaseRepresentation
bin100001011101010
3212111110
410023222
51022010
6211150
7100641
oct41352
925443
1017130
1111963
129ab6
137a49
146358
155120
hex42ea

17130 has 16 divisors (see below), whose sum is σ = 41184. Its totient is φ = 4560.

The previous prime is 17123. The next prime is 17137. The reversal of 17130 is 3171.

Adding to 17130 its reverse (3171), we get a triangular number (20301 = T201).

It is an interprime number because it is at equal distance from previous prime (17123) and next prime (17137).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (17137) by changing a digit.

17130 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

217130 is an apocalyptic number.

17130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17130 is an abundant number, since it is smaller than the sum of its proper divisors (24054).

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 (20592).

17130 is a wasteful number, since it uses less digits than its factorization.

17130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 17130 is about 130.8816259068. The cubic root of 17130 is about 25.7781920156.

The spelling of 17130 in words is "seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 571 1142 1713 2855 3426 5710 8565 17130