Search a number
-
+
12432432 = 243259009
BaseRepresentation
bin101111011011…
…010000110000
3212101122002110
4233123100300
511140314212
61122245320
7210450105
oct57332060
925348073
1012432432
117021741
1241b6840
132763a8c
141918aac
151158a3c
hexbdb430

12432432 has 20 divisors (see below), whose sum is σ = 32117240. Its totient is φ = 4144128.

The previous prime is 12432391. The next prime is 12432449. The reversal of 12432432 is 23423421.

12432432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×124324323 (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12432399 and 12432408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129457 + ... + 129552.

It is an arithmetic number, because the mean of its divisors is an integer number (1605862).

Almost surely, 212432432 is an apocalyptic number.

12432432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12432432 is an abundant number, since it is smaller than the sum of its proper divisors (19684808).

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

12432432 is a wasteful number, since it uses less digits than its factorization.

12432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259020 (or 259014 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 12432432 is about 3525.9653997168. The cubic root of 12432432 is about 231.6605221242.

Adding to 12432432 its reverse (23423421), we get a palindrome (35855853).

The spelling of 12432432 in words is "twelve million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 259009 518018 777027 1036036 1554054 2072072 3108108 4144144 6216216 12432432