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17120 = 255107
BaseRepresentation
bin100001011100000
3212111002
410023200
51021440
6211132
7100625
oct41340
925432
1017120
1111954
129aa8
137a3c
14634c
155115
hex42e0

17120 has 24 divisors (see below), whose sum is σ = 40824. Its totient is φ = 6784.

The previous prime is 17117. The next prime is 17123. The reversal of 17120 is 2171.

Adding to 17120 its reverse (2171), we get a palindrome (19291).

It can be divided in two parts, 171 and 20, that added together give a palindrome (191).

17120 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (17117) and next prime (17123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 107 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1701).

217120 is an apocalyptic number.

17120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17120 is the 107-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412).

17120 is an abundant number, since it is smaller than the sum of its proper divisors (23704).

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

17120 is a wasteful number, since it uses less digits than its factorization.

17120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 17120 is about 130.8434178704. The cubic root of 17120 is about 25.7731748508.

The spelling of 17120 in words is "seventeen thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120