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12885000 = 23354859
BaseRepresentation
bin110001001001…
…110000001000
3220020121220020
4301021300020
511244310000
61140100440
7214343412
oct61116010
926217806
1012885000
117300767
124394720
132891a7b
1419d59b2
1511e7ba0
hexc49c08

12885000 has 80 divisors (see below), whose sum is σ = 40299600. Its totient is φ = 3432000.

The previous prime is 12884959. The next prime is 12885001. The reversal of 12885000 is 58821.

12885000 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12885001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14571 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (503745).

Almost surely, 212885000 is an apocalyptic number.

12885000 is a gapful number since it is divisible by the number (10) 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 12885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20149800).

12885000 is an abundant number, since it is smaller than the sum of its proper divisors (27414600).

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

12885000 is an equidigital number, since it uses as much as digits as its factorization.

12885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 12885000 is about 3589.5682191595. The cubic root of 12885000 is about 234.4380719143.

The spelling of 12885000 in words is "twelve million, eight hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 859 1000 1250 1500 1718 1875 2500 2577 3000 3436 3750 4295 5000 5154 6872 7500 8590 10308 12885 15000 17180 20616 21475 25770 34360 42950 51540 64425 85900 103080 107375 128850 171800 214750 257700 322125 429500 515400 536875 644250 859000 1073750 1288500 1610625 2147500 2577000 3221250 4295000 6442500 12885000