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2008107 = 322389109
BaseRepresentation
bin111101010010000101011
310210000121100
413222100223
51003224412
6111012443
723032353
oct7522053
93700540
102008107
1111517a2
1280a123
1355403a
143a3b63
15299edc
hex1ea42b

2008107 has 24 divisors (see below), whose sum is σ = 3088800. Its totient is φ = 1254528.

The previous prime is 2008103. The next prime is 2008121. The reversal of 2008107 is 7018002.

It is not a de Polignac number, because 2008107 - 22 = 2008103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2008107.

It is not an unprimeable number, because it can be changed into a prime (2008103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18369 + ... + 18477.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22008107 is an apocalyptic number.

2008107 is a deficient number, since it is larger than the sum of its proper divisors (1080693).

2008107 is a wasteful number, since it uses less digits than its factorization.

2008107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2008107 is about 1417.0769209891. The cubic root of 2008107 is about 126.1621118209.

The spelling of 2008107 in words is "two million, eight thousand, one hundred seven".

Divisors: 1 3 9 23 69 89 109 207 267 327 801 981 2047 2507 6141 7521 9701 18423 22563 29103 87309 223123 669369 2008107