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12090300 = 22352191211
BaseRepresentation
bin101110000111…
…101110111100
3211202020202220
4232013232330
511043342200
61111045340
7204523455
oct56075674
924666686
1012090300
116908692
124070850
132674131
14186a12c
1510dc4a0
hexb87bbc

12090300 has 72 divisors (see below), whose sum is σ = 35331072. Its totient is φ = 3192000.

The previous prime is 12090283. The next prime is 12090301. The reversal of 12090300 is 309021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12090300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57195 + ... + 57405.

Almost surely, 212090300 is an apocalyptic number.

12090300 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 12090300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665536).

12090300 is an abundant number, since it is smaller than the sum of its proper divisors (23240772).

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

12090300 is a wasteful number, since it uses less digits than its factorization.

12090300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12090300 is about 3477.1108696733. The cubic root of 12090300 is about 229.5156790329.

Adding to 12090300 its reverse (309021), we get a palindrome (12399321).

The spelling of 12090300 in words is "twelve million, ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 211 300 382 422 573 633 764 844 955 1055 1146 1266 1910 2110 2292 2532 2865 3165 3820 4220 4775 5275 5730 6330 9550 10550 11460 12660 14325 15825 19100 21100 28650 31650 40301 57300 63300 80602 120903 161204 201505 241806 403010 483612 604515 806020 1007525 1209030 2015050 2418060 3022575 4030100 6045150 12090300