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12413856 = 253731329
BaseRepresentation
bin101111010110…
…101110100000
3212100200121110
4233112232200
511134220411
61122023320
7210342000
oct57265640
925320543
1012413856
117009794
1241a7b40
1327584a0
141912000
1511532a6
hexbd6ba0

12413856 has 192 divisors, whose sum is σ = 42336000. Its totient is φ = 3161088.

The previous prime is 12413851. The next prime is 12413887. The reversal of 12413856 is 65831421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413851) 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 31 ways as a sum of consecutive naturals, for example, 428050 + ... + 428078.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 212413856 is an apocalyptic number.

12413856 is a gapful number since it is divisible by the number (16) 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 12413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12413856 is an abundant number, since it is smaller than the sum of its proper divisors (29922144).

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

12413856 is a wasteful number, since it uses less digits than its factorization.

12413856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 12413856 is about 3523.3302428243. The cubic root of 12413856 is about 231.5450855810.

The spelling of 12413856 in words is "twelve million, four hundred thirteen thousand, eight hundred fifty-six".