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12305140 = 2253189223
BaseRepresentation
bin101110111100…
…001011110100
3212011011110221
4232330023310
511122231030
61115424124
7206410021
oct56741364
925134427
1012305140
116a45041
124155044
13271ab63
1418c4548
151130e7a
hexbbc2f4

12305140 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4688640.

The previous prime is 12305113. The next prime is 12305149. The reversal of 12305140 is 4150321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55069 + ... + 55291.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 212305140 is an apocalyptic number.

12305140 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 12305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

12305140 is an abundant number, since it is smaller than the sum of its proper divisors (14789900).

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

12305140 is a wasteful number, since it uses less digits than its factorization.

12305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12305140 is about 3507.8682985540. The cubic root of 12305140 is about 230.8671737528.

Adding to 12305140 its reverse (4150321), we get a palindrome (16455461).

The spelling of 12305140 in words is "twelve million, three hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 223 310 356 445 446 620 890 892 1115 1780 2230 2759 4460 5518 6913 11036 13795 13826 19847 27590 27652 34565 39694 55180 69130 79388 99235 138260 198470 396940 615257 1230514 2461028 3076285 6152570 12305140