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12307000 = 235331397
BaseRepresentation
bin101110111100…
…101000111000
3212011021000211
4232330220320
511122311000
61115440504
7206415316
oct56745070
925137024
1012307000
116a46482
124156134
13271b964
1418c50b6
1511317ba
hexbbca38

12307000 has 64 divisors (see below), whose sum is σ = 29802240. Its totient is φ = 4752000.

The previous prime is 12306979. The next prime is 12307007. The reversal of 12307000 is 70321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30802 + ... + 31198.

It is an arithmetic number, because the mean of its divisors is an integer number (465660).

Almost surely, 212307000 is an apocalyptic number.

12307000 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 12307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901120).

12307000 is an abundant number, since it is smaller than the sum of its proper divisors (17495240).

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

12307000 is a wasteful number, since it uses less digits than its factorization.

12307000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 12307000 is about 3508.1334068134. The cubic root of 12307000 is about 230.8788055129.

Adding to 12307000 its reverse (70321), we get a palindrome (12377321).

The spelling of 12307000 in words is "twelve million, three hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 397 500 620 775 794 1000 1240 1550 1588 1985 3100 3176 3875 3970 6200 7750 7940 9925 12307 15500 15880 19850 24614 31000 39700 49228 49625 61535 79400 98456 99250 123070 198500 246140 307675 397000 492280 615350 1230700 1538375 2461400 3076750 6153500 12307000