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12305000 = 235423107
BaseRepresentation
bin101110111100…
…001001101000
3212011011021202
4232330021220
511122230000
61115423332
7206406431
oct56741150
925134252
1012305000
116a44a24
124154b48
13271aa86
1418c4488
151130dd5
hexbbc268

12305000 has 80 divisors (see below), whose sum is σ = 30365280. Its totient is φ = 4664000.

The previous prime is 12304987. The next prime is 12305003. The reversal of 12305000 is 50321.

12305000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12305003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114947 + ... + 115053.

It is an arithmetic number, because the mean of its divisors is an integer number (379566).

Almost surely, 212305000 is an apocalyptic number.

12305000 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 12305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182640).

12305000 is an abundant number, since it is smaller than the sum of its proper divisors (18060280).

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

12305000 is a wasteful number, since it uses less digits than its factorization.

12305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 12305000 is about 3507.8483433581. The cubic root of 12305000 is about 230.8662981966.

Adding to 12305000 its reverse (50321), we get a palindrome (12355321).

The spelling of 12305000 in words is "twelve million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 107 115 125 184 200 214 230 250 428 460 500 535 575 625 856 920 1000 1070 1150 1250 2140 2300 2461 2500 2675 2875 4280 4600 4922 5000 5350 5750 9844 10700 11500 12305 13375 14375 19688 21400 23000 24610 26750 28750 49220 53500 57500 61525 66875 98440 107000 115000 123050 133750 246100 267500 307625 492200 535000 615250 1230500 1538125 2461000 3076250 6152500 12305000