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12413504 = 26732657
BaseRepresentation
bin101111010110…
…101001000000
3212100200010102
4233112221000
511134213004
61122021532
7210340655
oct57265100
925320112
1012413504
1170094a4
1241a78a8
13275828c
141911c2c
15115311e
hexbd6a40

12413504 has 28 divisors (see below), whose sum is σ = 24979884. Its totient is φ = 6119424.

The previous prime is 12413497. The next prime is 12413509. The reversal of 12413504 is 40531421.

It can be written as a sum of positive squares in 2 ways, for example, as 7573504 + 4840000 = 2752^2 + 2200^2 .

It is not an unprimeable number, because it can be changed into a prime (12413509) 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, 3344 + ... + 6000.

Almost surely, 212413504 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 12413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489942).

12413504 is an abundant number, since it is smaller than the sum of its proper divisors (12566380).

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

12413504 is an equidigital number, since it uses as much as digits as its factorization.

12413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12413504 is about 3523.2802897300. The cubic root of 12413504 is about 231.5428970416.

Adding to 12413504 its reverse (40531421), we get a palindrome (52944925).

The spelling of 12413504 in words is "twelve million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 2657 4672 5314 10628 21256 42512 85024 170048 193961 387922 775844 1551688 3103376 6206752 12413504