Search a number
-
+
2006106037 = 131631675669
BaseRepresentation
bin111011110010010…
…1011111110110101
312011210211202010121
41313210223332311
513102030343122
6531021451541
7100466422435
oct16744537665
95153752117
102006106037
1193a438181
1247ba10bb1
1325c8046c0
141506082c5
15bb1bbbc7
hex7792bfb5

2006106037 has 16 divisors (see below), whose sum is σ = 2187077760. Its totient is φ = 1829086272.

The previous prime is 2006106017. The next prime is 2006106041. The reversal of 2006106037 is 7306016002.

It is a de Polignac number, because none of the positive numbers 2k-2006106037 is a prime.

It is a super-2 number, since 2×20061060372 = 8048922863375690738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006106017) 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, 351039 + ... + 356707.

It is an arithmetic number, because the mean of its divisors is an integer number (136692360).

Almost surely, 22006106037 is an apocalyptic number.

It is an amenable number.

2006106037 is a deficient number, since it is larger than the sum of its proper divisors (180971723).

2006106037 is a wasteful number, since it uses less digits than its factorization.

2006106037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 2006106037 is about 44789.5750928718. The cubic root of 2006106037 is about 1261.2019346809.

The spelling of 2006106037 in words is "two billion, six million, one hundred six thousand, thirty-seven".

Divisors: 1 13 163 167 2119 2171 5669 27221 73697 353873 924047 946723 12012611 12307399 154315849 2006106037