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16290 = 2325181
BaseRepresentation
bin11111110100010
3211100100
43332202
51010130
6203230
765331
oct37642
924310
1016290
111126a
129516
137551
145d18
154c60
hex3fa2

16290 has 24 divisors (see below), whose sum is σ = 42588. Its totient is φ = 4320.

The previous prime is 16273. The next prime is 16301. The reversal of 16290 is 9261.

It can be divided in two parts, 162 and 90, that added together give a palindrome (252).

16290 is a nontrivial binomial coefficient, being equal to C(181, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 2601 = 117^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a nialpdrome in base 7 and base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 180.

216290 is an apocalyptic number.

16290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16290 is the 180-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294).

16290 is an abundant number, since it is smaller than the sum of its proper divisors (26298).

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

16290 is a wasteful number, since it uses less digits than its factorization.

16290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16290 is about 127.6322843171. The cubic root of 16290 is about 25.3497508233.

The spelling of 16290 in words is "sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290