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12816468 = 223475651
BaseRepresentation
bin110000111001…
…000001010100
3220010010220000
4300321001110
511240111333
61134411300
7213636540
oct60710124
926103800
1012816468
117264225
124360b30
132869812
1419b8a20
1511d2713
hexc39054

12816468 has 60 divisors (see below), whose sum is σ = 38297952. Its totient is φ = 3661200.

The previous prime is 12816457. The next prime is 12816473. The reversal of 12816468 is 86461821.

12816468 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558 + ... + 5093.

Almost surely, 212816468 is an apocalyptic number.

12816468 is a gapful number since it is divisible by the number (18) 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 12816468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148976).

12816468 is an abundant number, since it is smaller than the sum of its proper divisors (25481484).

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

12816468 is a wasteful number, since it uses less digits than its factorization.

12816468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5663 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12816468 is about 3580.0094971941. The cubic root of 12816468 is about 234.0216942411.

The spelling of 12816468 in words is "twelve million, eight hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5651 11302 16953 22604 33906 39557 50859 67812 79114 101718 118671 152577 158228 203436 237342 305154 356013 457731 474684 610308 712026 915462 1068039 1424052 1830924 2136078 3204117 4272156 6408234 12816468