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12884016 = 243475711
BaseRepresentation
bin110001001001…
…100000110000
3220020120112210
4301021200300
511244242031
61140052120
7214340505
oct61114060
926216483
1012884016
1172aaa52
124394040
1328914a2
1419d54ac
1511e7746
hexc49830

12884016 has 40 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 4202560.

The previous prime is 12883951. The next prime is 12884017. The reversal of 12884016 is 61048821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12884017) 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, 600 + ... + 5111.

Almost surely, 212884016 is an apocalyptic number.

12884016 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 12884016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

12884016 is an abundant number, since it is smaller than the sum of its proper divisors (21113808).

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

12884016 is a wasteful number, since it uses less digits than its factorization.

12884016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12884016 is about 3589.4311527037. The cubic root of 12884016 is about 234.4321039170.

The spelling of 12884016 in words is "twelve million, eight hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5711 11422 17133 22844 34266 45688 68532 91376 137064 268417 274128 536834 805251 1073668 1610502 2147336 3221004 4294672 6442008 12884016