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6005109 = 311271233
BaseRepresentation
bin10110111010000101110101
3102022002110110
4112322011311
53014130414
6332413233
7102020415
oct26720565
912262413
106005109
113431800
122017219
131323426
14b24645
157d9459
hex5ba175

6005109 has 24 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 3572800.

The previous prime is 6005107. The next prime is 6005113. The reversal of 6005109 is 9015006.

It is not a de Polignac number, because 6005109 - 21 = 6005107 is a prime.

It is a super-2 number, since 2×60051092 = 72122668203762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25657 + ... + 25889.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 26005109 is an apocalyptic number.

It is an amenable number.

6005109 is a deficient number, since it is larger than the sum of its proper divisors (2958027).

6005109 is a wasteful number, since it uses less digits than its factorization.

6005109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 6005109 is about 2450.5323911346. The cubic root of 6005109 is about 181.7636205907.

The spelling of 6005109 in words is "six million, five thousand, one hundred nine".

Divisors: 1 3 11 33 71 121 213 233 363 699 781 2343 2563 7689 8591 16543 25773 28193 49629 84579 181973 545919 2001703 6005109