Search a number
-
+
12324072 = 2332917707
BaseRepresentation
bin101111000000…
…110011101000
3212012010110010
4233000303220
511123332242
61120051520
7206516145
oct57006350
925163403
1012324072
116a58292
124163ba0
132726667
1418cb3cc
15113689c
hexbc0ce8

12324072 has 32 divisors (see below), whose sum is σ = 31874400. Its totient is φ = 3966144.

The previous prime is 12324041. The next prime is 12324077. The reversal of 12324072 is 27042321.

It is a super-2 number, since 2×123240722 = 303765501322368, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12324077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8158 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (996075).

Almost surely, 212324072 is an apocalyptic number.

12324072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12324072 is an abundant number, since it is smaller than the sum of its proper divisors (19550328).

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

12324072 is a wasteful number, since it uses less digits than its factorization.

12324072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17745 (or 17741 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12324072 is about 3510.5657663687. The cubic root of 12324072 is about 230.9855128562.

Adding to 12324072 its reverse (27042321), we get a palindrome (39366393).

The spelling of 12324072 in words is "twelve million, three hundred twenty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 17707 35414 53121 70828 106242 141656 212484 424968 513503 1027006 1540509 2054012 3081018 4108024 6162036 12324072