Search a number
-
+
12328032 = 253281457
BaseRepresentation
bin101111000001…
…110001100000
3212012022212210
4233001301200
511123444112
61120122120
7206533533
oct57016140
925168783
1012328032
116a60262
124166340
1327283c2
1418cca1a
151137b3c
hexbc1c60

12328032 has 48 divisors (see below), whose sum is σ = 32547312. Its totient is φ = 4085760.

The previous prime is 12328007. The next prime is 12328037. The reversal of 12328032 is 23082321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26748 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (678069).

Almost surely, 212328032 is an apocalyptic number.

12328032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12328032 is an abundant number, since it is smaller than the sum of its proper divisors (20219280).

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

12328032 is a wasteful number, since it uses less digits than its factorization.

12328032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12328032 is about 3511.1297327214. The cubic root of 12328032 is about 231.0102504775.

The spelling of 12328032 in words is "twelve million, three hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 457 562 843 914 1124 1371 1686 1828 2248 2742 3372 3656 4496 5484 6744 7312 8992 10968 13488 14624 21936 26976 43872 128417 256834 385251 513668 770502 1027336 1541004 2054672 3082008 4109344 6164016 12328032