Search a number
16590 = 235779
BaseRepresentation
bin100000011001110
3211202110
410003032
51012330
6204450
766240
oct40316
924673
1016590
1111512
129726
137722
146090
154db0
hex40ce

16590 has 32 divisors (see below), whose sum is σ = 46080. Its totient is φ = 3744.

The previous prime is 16573. The next prime is 16603. The reversal of 16590 is 9561.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

16590 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 15 ways as a sum of consecutive naturals, for example, 171 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

216590 is an apocalyptic number.

16590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040).

16590 is an abundant number, since it is smaller than the sum of its proper divisors (29490).

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

16590 is a wasteful number, since it uses less digits than its factorization.

16590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 16590 is about 128.8021738947. The cubic root of 16590 is about 25.5044206100.

It can be divided in two parts, 16 and 590, that added together give a palindrome (606).

The spelling of 16590 in words is "sixteen thousand, five hundred ninety".