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12090 = 2351331
BaseRepresentation
bin10111100111010
3121120210
42330322
5341330
6131550
750151
oct27472
917523
1012090
1190a1
126bb6
135670
144598
1538b0
hex2f3a

12090 has 32 divisors (see below), whose sum is σ = 32256. Its totient is φ = 2880.

The previous prime is 12073. The next prime is 12097. The reversal of 12090 is 9021.

It can be divided in two parts, 120 and 90, that added together give a triangular number (210 = T20).

It is a happy number.

12090 is nontrivially palindromic in base 8 and base 12.

12090 is a nontrivial binomial coefficient, being equal to C(156, 2).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

212090 is an apocalyptic number.

12090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12090 is the 155-th triangular number and also the 78-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128).

12090 is an abundant number, since it is smaller than the sum of its proper divisors (20166).

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

12090 is a wasteful number, since it uses less digits than its factorization.

12090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12090 is about 109.9545360592. The cubic root of 12090 is about 22.9513780672.

The spelling of 12090 in words is "twelve thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090