Search a number
-
+
805007106 = 23314907539
BaseRepresentation
bin101111111110110…
…110111100000010
32002002202121011000
4233332312330002
53122040211411
6211514032430
725643306331
oct5776667402
92062677130
10805007106
11383450832
121a5718716
13caa16c87
1478cadd18
154aa15956
hex2ffb6f02

805007106 has 16 divisors (see below), whose sum is σ = 1788904800. Its totient is φ = 268335684.

The previous prime is 805007083. The next prime is 805007129. The reversal of 805007106 is 601700508.

It is an interprime number because it is at equal distance from previous prime (805007083) and next prime (805007129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 805007106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7453716 + ... + 7453823.

It is an arithmetic number, because the mean of its divisors is an integer number (111806550).

Almost surely, 2805007106 is an apocalyptic number.

805007106 is an abundant number, since it is smaller than the sum of its proper divisors (983897694).

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

805007106 is a wasteful number, since it uses less digits than its factorization.

805007106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907550 (or 14907544 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 805007106 is about 28372.6471447414. The cubic root of 805007106 is about 930.2504840380.

The spelling of 805007106 in words is "eight hundred five million, seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 14907539 29815078 44722617 89445234 134167851 268335702 402503553 805007106