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12816608 = 257291973
BaseRepresentation
bin110000111001…
…000011100000
3220010011002012
4300321003200
511240112413
61134412052
7213640130
oct60710340
926104065
1012816608
117264342
124361028
1328698bc
1419b8ac0
1511d27a8
hexc390e0

12816608 has 48 divisors (see below), whose sum is σ = 29846880. Its totient is φ = 5300736.

The previous prime is 12816607. The next prime is 12816667. The reversal of 12816608 is 80661821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816607) 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, 5510 + ... + 7482.

It is an arithmetic number, because the mean of its divisors is an integer number (621810).

Almost surely, 212816608 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 12816608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923440).

12816608 is an abundant number, since it is smaller than the sum of its proper divisors (17030272).

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

12816608 is a wasteful number, since it uses less digits than its factorization.

12816608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 12816608 is about 3580.0290501615. The cubic root of 12816608 is about 234.0225463458.

The spelling of 12816608 in words is "twelve million, eight hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1973 3248 3946 6496 7892 13811 15784 27622 31568 55244 57217 63136 110488 114434 220976 228868 400519 441952 457736 801038 915472 1602076 1830944 3204152 6408304 12816608