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12327640 = 23513151157
BaseRepresentation
bin101111000001…
…101011011000
3212012022100021
4233001223120
511123441030
61120120224
7206532433
oct57015330
925168307
1012327640
116a5aa36
124166074
132728180
1418cc81a
15113797a
hexbc1ad8

12327640 has 64 divisors (see below), whose sum is σ = 30260160. Its totient is φ = 4492800.

The previous prime is 12327631. The next prime is 12327643. The reversal of 12327640 is 4672321.

12327640 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 (12327643) 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, 78442 + ... + 78598.

It is an arithmetic number, because the mean of its divisors is an integer number (472815).

Almost surely, 212327640 is an apocalyptic number.

12327640 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 12327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080).

12327640 is an abundant number, since it is smaller than the sum of its proper divisors (17932520).

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

12327640 is a wasteful number, since it uses less digits than its factorization.

12327640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12327640 is about 3511.0739097889. The cubic root of 12327640 is about 231.0078019391.

Adding to 12327640 its reverse (4672321), we get a palindrome (16999961).

The spelling of 12327640 in words is "twelve million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 151 157 260 302 314 520 604 628 755 785 1208 1256 1510 1570 1963 2041 3020 3140 3926 4082 6040 6280 7852 8164 9815 10205 15704 16328 19630 20410 23707 39260 40820 47414 78520 81640 94828 118535 189656 237070 308191 474140 616382 948280 1232764 1540955 2465528 3081910 6163820 12327640