Search a number
-
+
12803456 = 27234349
BaseRepresentation
bin110000110101…
…110110000000
3220002111001002
4300311312000
511234202311
61134231132
7213553601
oct60656600
926074032
1012803456
117255476
1243554a8
132863913
1419b3da8
1511cd93b
hexc35d80

12803456 has 32 divisors (see below), whose sum is σ = 26622000. Its totient is φ = 6121984.

The previous prime is 12803449. The next prime is 12803459. The reversal of 12803456 is 65430821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 5118.

Almost surely, 212803456 is an apocalyptic number.

12803456 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 12803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311000).

12803456 is an abundant number, since it is smaller than the sum of its proper divisors (13818544).

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

12803456 is an equidigital number, since it uses as much as digits as its factorization.

12803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 12803456 is about 3578.1917220853. The cubic root of 12803456 is about 233.9424700903.

The spelling of 12803456 in words is "twelve million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 4349 8698 17396 34792 69584 100027 139168 200054 278336 400108 556672 800216 1600432 3200864 6401728 12803456