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12185340 = 2235434723
BaseRepresentation
bin101110011110…
…111011111100
3211221002010220
4232132323330
511104412330
61113101340
7205400526
oct56367374
924832126
1012185340
116973032
1240b7850
1326a847b
141892a16
15110a710
hexb9eefc

12185340 has 48 divisors (see below), whose sum is σ = 34919808. Its totient is φ = 3173184.

The previous prime is 12185339. The next prime is 12185351. The reversal of 12185340 is 4358121.

It is a self number, because there is not a number n which added to its sum of digits gives 12185340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (727496).

Almost surely, 212185340 is an apocalyptic number.

12185340 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 12185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459904).

12185340 is an abundant number, since it is smaller than the sum of its proper divisors (22734468).

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

12185340 is a wasteful number, since it uses less digits than its factorization.

12185340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12185340 is about 3490.7506356083. The cubic root of 12185340 is about 230.1155059404.

The spelling of 12185340 in words is "twelve million, one hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4723 9446 14169 18892 23615 28338 47230 56676 70845 94460 141690 203089 283380 406178 609267 812356 1015445 1218534 2030890 2437068 3046335 4061780 6092670 12185340