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806868 = 223331241
BaseRepresentation
bin11000100111111010100
31111222211000
43010333110
5201304433
625143300
76600246
oct3047724
91458730
10806868
11501237
1232ab30
1322334a
14170096
1510e113
hexc4fd4

806868 has 48 divisors (see below), whose sum is σ = 2168320. Its totient is φ = 259200.

The previous prime is 806857. The next prime is 806893. The reversal of 806868 is 868608.

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

It is a plaindrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

806868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228 + ... + 3468.

2806868 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 806868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084160).

806868 is an abundant number, since it is smaller than the sum of its proper divisors (1361452).

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

806868 is a wasteful number, since it uses less digits than its factorization.

806868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 806868 is about 898.2583147403. The cubic root of 806868 is about 93.0966736663.

The spelling of 806868 in words is "eight hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 241 279 372 482 558 723 837 964 1116 1446 1674 2169 2892 3348 4338 6507 7471 8676 13014 14942 22413 26028 29884 44826 67239 89652 134478 201717 268956 403434 806868