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12424104 = 233571183
BaseRepresentation
bin101111011001…
…001110101000
3212101012200000
4233121032220
511140032404
61122143000
7210413610
oct57311650
925335600
1012424104
117016460
1241b1a60
132760054
141915a40
151156339
hexbd93a8

12424104 has 192 divisors, whose sum is σ = 44029440. Its totient is φ = 3188160.

The previous prime is 12424103. The next prime is 12424123. The reversal of 12424104 is 40142421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12424103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149647 + ... + 149729.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 212424104 is an apocalyptic number.

12424104 is a gapful number since it is divisible by the number (14) 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 12424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12424104 is an abundant number, since it is smaller than the sum of its proper divisors (31605336).

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

12424104 is a wasteful number, since it uses less digits than its factorization.

12424104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12424104 is about 3524.7842487165. The cubic root of 12424104 is about 231.6087837953.

Adding to 12424104 its reverse (40142421), we get a palindrome (52566525).

The spelling of 12424104 in words is "twelve million, four hundred twenty-four thousand, one hundred four".