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12424064 = 27293347
BaseRepresentation
bin101111011001…
…001110000000
3212101012121112
4233121032000
511140032224
61122142452
7210413522
oct57311600
925335545
1012424064
117016424
1241b1a28
132760023
141915a12
15115630e
hexbd9380

12424064 has 32 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 5996032.

The previous prime is 12424063. The next prime is 12424073. The reversal of 12424064 is 46042421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424063) 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 3 ways as a sum of consecutive naturals, for example, 2039 + ... + 5385.

Almost surely, 212424064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

12424064 is an abundant number, since it is smaller than the sum of its proper divisors (13188136).

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

12424064 is an equidigital number, since it uses as much as digits as its factorization.

12424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 12424064 is about 3524.7785746058. The cubic root of 12424064 is about 231.6085352365.

Adding to 12424064 its reverse (46042421), we get a palindrome (58466485).

The spelling of 12424064 in words is "twelve million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3347 3712 6694 13388 26776 53552 97063 107104 194126 214208 388252 428416 776504 1553008 3106016 6212032 12424064