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12308320 = 255431789
BaseRepresentation
bin101110111100…
…111101100000
3212011022211201
4232330331200
511122331240
61115450544
7206422213
oct56747540
925138751
1012308320
116a47472
124156a54
13271c43b
1418c577a
151131d9a
hexbbcf60

12308320 has 48 divisors (see below), whose sum is σ = 29771280. Its totient is φ = 4806144.

The previous prime is 12308297. The next prime is 12308327. The reversal of 12308320 is 2380321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5986 + ... + 7774.

It is an arithmetic number, because the mean of its divisors is an integer number (620235).

Almost surely, 212308320 is an apocalyptic number.

12308320 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 12308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885640).

12308320 is an abundant number, since it is smaller than the sum of its proper divisors (17462960).

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

12308320 is a wasteful number, since it uses less digits than its factorization.

12308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12308320 is about 3508.3215360055. The cubic root of 12308320 is about 230.8870595994.

Adding to 12308320 its reverse (2380321), we get a palindrome (14688641).

The spelling of 12308320 in words is "twelve million, three hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 1789 3440 3578 6880 7156 8945 14312 17890 28624 35780 57248 71560 76927 143120 153854 286240 307708 384635 615416 769270 1230832 1538540 2461664 3077080 6154160 12308320