Search a number
-
+
2008149 = 3111331151
BaseRepresentation
bin111101010010001010101
310210000122220
413222101111
51003230044
6111012553
723032443
oct7522125
93700586
102008149
111151830
1280a159
13554070
143a3b93
1529a019
hex1ea455

2008149 has 32 divisors (see below), whose sum is σ = 3268608. Its totient is φ = 1080000.

The previous prime is 2008147. The next prime is 2008151. The reversal of 2008149 is 9418002.

It is an interprime number because it is at equal distance from previous prime (2008147) and next prime (2008151).

It is not a de Polignac number, because 2008149 - 21 = 2008147 is a prime.

2008149 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008141) 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 31 ways as a sum of consecutive naturals, for example, 13224 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

22008149 is an apocalyptic number.

It is an amenable number.

2008149 is a deficient number, since it is larger than the sum of its proper divisors (1260459).

2008149 is a wasteful number, since it uses less digits than its factorization.

2008149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2008149 is about 1417.0917401495. The cubic root of 2008149 is about 126.1629913843.

The spelling of 2008149 in words is "two million, eight thousand, one hundred forty-nine".

Divisors: 1 3 11 13 31 33 39 93 143 151 341 403 429 453 1023 1209 1661 1963 4433 4681 4983 5889 13299 14043 21593 51491 60853 64779 154473 182559 669383 2008149