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12305220 = 2235673061
BaseRepresentation
bin101110111100…
…001101000100
3212011011120220
4232330031010
511122231340
61115424340
7206410164
oct56741504
925134526
1012305220
116a45104
1241550b0
13271abc5
1418c45a4
151130ed0
hexbbc344

12305220 has 48 divisors (see below), whose sum is σ = 34980288. Its totient is φ = 3231360.

The previous prime is 12305213. The next prime is 12305221. The reversal of 12305220 is 2250321.

12305220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12305220.

It is not an unprimeable number, because it can be changed into a prime (12305221) 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, 2490 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (728756).

Almost surely, 212305220 is an apocalyptic number.

12305220 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 12305220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17490144).

12305220 is an abundant number, since it is smaller than the sum of its proper divisors (22675068).

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

12305220 is a wasteful number, since it uses less digits than its factorization.

12305220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12305220 is about 3507.8797014721. The cubic root of 12305220 is about 230.8676740677.

Adding to 12305220 its reverse (2250321), we get a palindrome (14555541).

The spelling of 12305220 in words is "twelve million, three hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3061 4020 6122 9183 12244 15305 18366 30610 36732 45915 61220 91830 183660 205087 410174 615261 820348 1025435 1230522 2050870 2461044 3076305 4101740 6152610 12305220