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12426432 = 263611061
BaseRepresentation
bin101111011001…
…110011000000
3212101022212020
4233121303000
511140121212
61122201440
7210423444
oct57316300
925338766
1012426432
117018187
1241b3280
132761125
141916824
151156d8c
hexbd9cc0

12426432 has 56 divisors (see below), whose sum is σ = 33448752. Its totient is φ = 4070400.

The previous prime is 12426431. The next prime is 12426481. The reversal of 12426432 is 23462421.

12426432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (12426431) 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, 11182 + ... + 12242.

Almost surely, 212426432 is an apocalyptic number.

12426432 is a gapful number since it is divisible by the number (12) 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 12426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724376).

12426432 is an abundant number, since it is smaller than the sum of its proper divisors (21022320).

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

12426432 is a wasteful number, since it uses less digits than its factorization.

12426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1127 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 12426432 is about 3525.1144662266. The cubic root of 12426432 is about 231.6232489987.

Adding to 12426432 its reverse (23462421), we get a palindrome (35888853).

The spelling of 12426432 in words is "twelve million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1061 1464 1952 2122 2928 3183 3904 4244 5856 6366 8488 11712 12732 16976 25464 33952 50928 64721 67904 101856 129442 194163 203712 258884 388326 517768 776652 1035536 1553304 2071072 3106608 4142144 6213216 12426432