Search a number
-
+
2006000046 = 23337148149
BaseRepresentation
bin111011110010001…
…0010000110101110
312011210122100202000
41313210102012232
513102014000141
6531015313130
7100465501431
oct16744220656
95153570660
102006000046
1193a375586
1247b97b7a6
1325c79839b
141505bb818
15bb19a5b6
hex779121ae

2006000046 has 16 divisors (see below), whose sum is σ = 4457778000. Its totient is φ = 668666664.

The previous prime is 2006000041. The next prime is 2006000047. The reversal of 2006000046 is 6400006002.

2006000046 is a `hidden beast` number, since 20 + 0 + 600 + 0 + 0 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2005999992 and 2006000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006000041) 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, 18574021 + ... + 18574128.

It is an arithmetic number, because the mean of its divisors is an integer number (278611125).

Almost surely, 22006000046 is an apocalyptic number.

2006000046 is an abundant number, since it is smaller than the sum of its proper divisors (2451777954).

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

2006000046 is a wasteful number, since it uses less digits than its factorization.

2006000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37148160 (or 37148154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2006000046 is about 44788.3918666433. The cubic root of 2006000046 is about 1261.1797227595.

Adding to 2006000046 its reverse (6400006002), we get a palindrome (8406006048).

The spelling of 2006000046 in words is "two billion, six million, forty-six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 9 18 27 54 37148149 74296298 111444447 222888894 334333341 668666682 1003000023 2006000046