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12309280 = 255107719
BaseRepresentation
bin101110111101…
…001100100000
3212011101011021
4232331030200
511122344110
61115455224
7206425054
oct56751440
925141137
1012309280
116a48165
124157514
13271c9c9
1418c5c64
1511322da
hexbbd320

12309280 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 4870912.

The previous prime is 12309277. The next prime is 12309289. The reversal of 12309280 is 8290321.

12309280 is nontrivially palindromic in base 12.

12309280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12309289) 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, 16761 + ... + 17479.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 212309280 is an apocalyptic number.

12309280 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 12309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

12309280 is an abundant number, since it is smaller than the sum of its proper divisors (17084000).

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

12309280 is a wasteful number, since it uses less digits than its factorization.

12309280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12309280 is about 3508.4583509000. The cubic root of 12309280 is about 230.8930622008.

The spelling of 12309280 in words is "twelve million, three hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 719 856 1070 1438 1712 2140 2876 3424 3595 4280 5752 7190 8560 11504 14380 17120 23008 28760 57520 76933 115040 153866 307732 384665 615464 769330 1230928 1538660 2461856 3077320 6154640 12309280