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806106 = 237171129
BaseRepresentation
bin11000100110011011010
31111221202210
43010303122
5201243411
625135550
76565110
oct3046332
91457683
10806106
11500704
1232a5b6
13222bb2
1416dab0
1510dca6
hexc4cda

806106 has 32 divisors (see below), whose sum is σ = 1952640. Its totient is φ = 216576.

The previous prime is 806087. The next prime is 806107. The reversal of 806106 is 601608.

806106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (806107) by changing a digit.

806106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (61020).

2806106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976320).

806106 is an abundant number, since it is smaller than the sum of its proper divisors (1146534).

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

806106 is a wasteful number, since it uses less digits than its factorization.

806106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 806106 is about 897.8340603920. The cubic root of 806106 is about 93.0673578390.

The spelling of 806106 in words is "eight hundred six thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1129 2258 3387 6774 7903 15806 19193 23709 38386 47418 57579 115158 134351 268702 403053 806106