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17420 = 2251367
BaseRepresentation
bin100010000001100
3212220012
410100030
51024140
6212352
7101534
oct42014
925805
1017420
11120a7
12a0b8
137c10
1464c4
155265
hex440c

17420 has 24 divisors (see below), whose sum is σ = 39984. Its totient is φ = 6336.

The previous prime is 17419. The next prime is 17431. The reversal of 17420 is 2471.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 17395 and 17404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1666).

217420 is an apocalyptic number.

17420 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 17420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992).

17420 is an abundant number, since it is smaller than the sum of its proper divisors (22564).

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

17420 is a wasteful number, since it uses less digits than its factorization.

17420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 17420 is about 131.9848476152. The cubic root of 17420 is about 25.9228482111.

Adding to 17420 its reverse (2471), we get a palindrome (19891).

It can be divided in two parts, 17 and 420, that multiplied together give a triangular number (7140 = T119).

The spelling of 17420 in words is "seventeen thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420