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806124 = 2231131197
BaseRepresentation
bin11000100110011101100
31111221210110
43010303230
5201243444
625140020
76565134
oct3046354
91457713
10806124
11500720
1232a610
13222bc7
1416dac4
1510dcb9
hexc4cec

806124 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 235200.

The previous prime is 806111. The next prime is 806129. The reversal of 806124 is 421608.

806124 = T169 + T170 + ... + T212.

806124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 806124.

It is not an unprimeable number, because it can be changed into a prime (806129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3994 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2806124 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 806124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

806124 is an abundant number, since it is smaller than the sum of its proper divisors (1322772).

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

806124 is a wasteful number, since it uses less digits than its factorization.

806124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 806124 is about 897.8440844601. The cubic root of 806124 is about 93.0680505519.

The spelling of 806124 in words is "eight hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 197 341 372 394 591 682 788 1023 1182 1364 2046 2167 2364 4092 4334 6107 6501 8668 12214 13002 18321 24428 26004 36642 67177 73284 134354 201531 268708 403062 806124