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12989536 = 257103563
BaseRepresentation
bin110001100011…
…010001100000
3220102221021221
4301203101200
511311131121
61142224424
7215260240
oct61432140
926387257
1012989536
11737225a
124425114
1328ca521
141a21b20
151218b41
hexc63460

12989536 has 48 divisors (see below), whose sum is σ = 29562624. Its totient is φ = 5503104.

The previous prime is 12989519. The next prime is 12989539. The reversal of 12989536 is 63598921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12989492 and 12989501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12989539) 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, 22791 + ... + 23353.

It is an arithmetic number, because the mean of its divisors is an integer number (615888).

Almost surely, 212989536 is an apocalyptic number.

12989536 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 12989536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781312).

12989536 is an abundant number, since it is smaller than the sum of its proper divisors (16573088).

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

12989536 is a wasteful number, since it uses less digits than its factorization.

12989536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 12989536 is about 3604.0998876280. The cubic root of 12989536 is about 235.0703637191.

The spelling of 12989536 in words is "twelve million, nine hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 563 721 824 1126 1442 1648 2252 2884 3296 3941 4504 5768 7882 9008 11536 15764 18016 23072 31528 57989 63056 115978 126112 231956 405923 463912 811846 927824 1623692 1855648 3247384 6494768 12989536