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3005769 = 313372083
BaseRepresentation
bin1011011101110101001001
312122201010210
423131311021
51232141034
6144231333
734356114
oct13356511
95581123
103005769
111773308
12100b549
13813180
1458357b
153e58e9
hex2ddd49

3005769 has 16 divisors (see below), whose sum is σ = 4434752. Its totient is φ = 1798848.

The previous prime is 3005749. The next prime is 3005771. The reversal of 3005769 is 9675003.

It is not a de Polignac number, because 3005769 - 215 = 2973001 is a prime.

It is a super-2 number, since 2×30057692 = 18069294562722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3005749) 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 15 ways as a sum of consecutive naturals, for example, 402 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (277172).

Almost surely, 23005769 is an apocalyptic number.

3005769 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3005769 is a deficient number, since it is larger than the sum of its proper divisors (1428983).

3005769 is a wasteful number, since it uses less digits than its factorization.

3005769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3005769 is about 1733.7153745641. The cubic root of 3005769 is about 144.3173460321.

The spelling of 3005769 in words is "three million, five thousand, seven hundred sixty-nine".

Divisors: 1 3 13 37 39 111 481 1443 2083 6249 27079 77071 81237 231213 1001923 3005769