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12305280 = 2735131729
BaseRepresentation
bin101110111100…
…001110000000
3212011011200010
4232330032000
511122232110
61115424520
7206410311
oct56741600
925134603
1012305280
116a45159
124155140
13271ac40
1418c4608
151131020
hexbbc380

12305280 has 256 divisors, whose sum is σ = 46267200. Its totient is φ = 2752512.

The previous prime is 12305273. The next prime is 12305311. The reversal of 12305280 is 8250321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424306 + ... + 424334.

Almost surely, 212305280 is an apocalyptic number.

12305280 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 12305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

12305280 is an abundant number, since it is smaller than the sum of its proper divisors (33961920).

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

12305280 is a wasteful number, since it uses less digits than its factorization.

12305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12305280 is about 3507.8882536364. Note that the first 3 decimals coincide. The cubic root of 12305280 is about 230.8680493024.

The spelling of 12305280 in words is "twelve million, three hundred five thousand, two hundred eighty".