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12983856 = 243833259
BaseRepresentation
bin110001100001…
…111000110000
3220102122111120
4301201320300
511310440411
61142142240
7215234544
oct61417060
926378446
1012983856
117368a66
124421980
1328c7a72
141a1da24
151217106
hexc61e30

12983856 has 40 divisors (see below), whose sum is σ = 33956160. Its totient is φ = 4274496.

The previous prime is 12983849. The next prime is 12983857. The reversal of 12983856 is 65838921.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12983857) 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, 2355 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (848904).

Almost surely, 212983856 is an apocalyptic number.

12983856 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 12983856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978080).

12983856 is an abundant number, since it is smaller than the sum of its proper divisors (20972304).

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

12983856 is a wasteful number, since it uses less digits than its factorization.

12983856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 12983856 is about 3603.3118099881. The cubic root of 12983856 is about 235.0360952554.

The spelling of 12983856 in words is "twelve million, nine hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3259 3984 6518 9777 13036 19554 26072 39108 52144 78216 156432 270497 540994 811491 1081988 1622982 2163976 3245964 4327952 6491928 12983856