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12803440 = 245132947
BaseRepresentation
bin110000110101…
…110101110000
3220002111000111
4300311311300
511234202230
61134231104
7213553546
oct60656560
926074014
1012803440
117255461
124355494
132863900
1419b3d96
1511cd92a
hexc35d70

12803440 has 60 divisors (see below), whose sum is σ = 32268024. Its totient is φ = 4722432.

The previous prime is 12803423. The next prime is 12803447. The reversal of 12803440 is 4430821.

12803440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13047 + ... + 13993.

Almost surely, 212803440 is an apocalyptic number.

12803440 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 12803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134012).

12803440 is an abundant number, since it is smaller than the sum of its proper divisors (19464584).

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

12803440 is a wasteful number, since it uses less digits than its factorization.

12803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12803440 is about 3578.1894863185. The cubic root of 12803440 is about 233.9423726405.

The spelling of 12803440 in words is "twelve million, eight hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 947 1040 1352 1690 1894 2704 3380 3788 4735 6760 7576 9470 12311 13520 15152 18940 24622 37880 49244 61555 75760 98488 123110 160043 196976 246220 320086 492440 640172 800215 984880 1280344 1600430 2560688 3200860 6401720 12803440