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12324540 = 2235192569
BaseRepresentation
bin101111000000…
…111010111100
3212012011002110
4233000322330
511123341130
61120054020
7206520414
oct57007274
925164073
1012324540
116a58678
124164310
132726937
1418cb644
151136ab0
hexbc0ebc

12324540 has 72 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 3108096.

The previous prime is 12324497. The next prime is 12324607. The reversal of 12324540 is 4542321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21376 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 212324540 is an apocalyptic number.

12324540 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 12324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

12324540 is an abundant number, since it is smaller than the sum of its proper divisors (24160020).

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

12324540 is a wasteful number, since it uses less digits than its factorization.

12324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12324540 is about 3510.6324216585. The cubic root of 12324540 is about 230.9884366694.

Adding to 12324540 its reverse (4542321), we get a palindrome (16866861).

The spelling of 12324540 in words is "twelve million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 569 570 722 1083 1138 1140 1444 1707 1805 2166 2276 2845 3414 3610 4332 5415 5690 6828 7220 8535 10811 10830 11380 17070 21622 21660 32433 34140 43244 54055 64866 108110 129732 162165 205409 216220 324330 410818 616227 648660 821636 1027045 1232454 2054090 2464908 3081135 4108180 6162270 12324540