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806796 = 223273307
BaseRepresentation
bin11000100111110001100
31111222201100
43010332030
5201304141
625143100
76600114
oct3047614
91458640
10806796
11501181
1232aa90
132232c3
14170044
1510e0b6
hexc4f8c

806796 has 36 divisors (see below), whose sum is σ = 2074072. Its totient is φ = 264384.

The previous prime is 806791. The next prime is 806801. The reversal of 806796 is 697608.

806796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806791) and next prime (806801).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 806796.

It is not an unprimeable number, because it can be changed into a prime (806791) 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, 2475 + ... + 2781.

2806796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037036).

806796 is an abundant number, since it is smaller than the sum of its proper divisors (1267276).

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

806796 is a wasteful number, since it uses less digits than its factorization.

806796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 806796 is about 898.2182362878. The cubic root of 806796 is about 93.0939044567.

The spelling of 806796 in words is "eight hundred six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 307 438 614 657 876 921 1228 1314 1842 2628 2763 3684 5526 11052 22411 44822 67233 89644 134466 201699 268932 403398 806796