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806104 = 231323337
BaseRepresentation
bin11000100110011011000
31111221202201
43010303120
5201243404
625135544
76565105
oct3046330
91457681
10806104
11500702
1232a5b4
13222bb0
1416daac
1510dca4
hexc4cd8

806104 has 32 divisors (see below), whose sum is σ = 1703520. Its totient is φ = 354816.

The previous prime is 806087. The next prime is 806107. The reversal of 806104 is 401608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806107) 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, 2224 + ... + 2560.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2806104 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 806104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851760).

806104 is an abundant number, since it is smaller than the sum of its proper divisors (897416).

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

806104 is a wasteful number, since it uses less digits than its factorization.

806104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 806104 is about 897.8329465998. The cubic root of 806104 is about 93.0672808703.

Subtracting from 806104 its reverse (401608), we obtain a square (404496 = 6362).

The spelling of 806104 in words is "eight hundred six thousand, one hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 337 598 674 1196 1348 2392 2696 4381 7751 8762 15502 17524 31004 35048 62008 100763 201526 403052 806104