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16580 = 225829
BaseRepresentation
bin100000011000100
3211202002
410003010
51012310
6204432
766224
oct40304
924662
1016580
1111503
129718
137715
146084
154da5
hex40c4

16580 has 12 divisors (see below), whose sum is σ = 34860. Its totient is φ = 6624.

The previous prime is 16573. The next prime is 16603. The reversal of 16580 is 8561.

16580 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 8836 = 88^2 + 94^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 829 = 16580 / (1 + 6 + 5 + 8 + 0).

It is a Leyland number of the form 142 + 214.

It is an unprimeable number.

16580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (2905).

216580 is an apocalyptic number.

16580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16580 is an abundant number, since it is smaller than the sum of its proper divisors (18280).

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 (17430).

16580 is a wasteful number, since it uses less digits than its factorization.

16580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 16580 is about 128.7633488226. The cubic root of 16580 is about 25.4992951234.

The spelling of 16580 in words is "sixteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 829 1658 3316 4145 8290 16580