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3001713 = 311136997
BaseRepresentation
bin1011011100110101110001
312122111120120
423130311301
51232023323
6144200453
734341231
oct13346561
95574516
103001713
111770260
121009129
13811380
14581cc1
153e45e3
hex2dcd71

3001713 has 16 divisors (see below), whose sum is σ = 4702656. Its totient is φ = 1679040.

The previous prime is 3001711. The next prime is 3001721. The reversal of 3001713 is 3171003.

It is not a de Polignac number, because 3001713 - 21 = 3001711 is a prime.

3001713 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3001692 and 3001701.

It is not an unprimeable number, because it can be changed into a prime (3001711) 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, 3070 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (293916).

Almost surely, 23001713 is an apocalyptic number.

3001713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3001713 is a deficient number, since it is larger than the sum of its proper divisors (1700943).

3001713 is a wasteful number, since it uses less digits than its factorization.

3001713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 3001713 is about 1732.5452375046. The cubic root of 3001713 is about 144.2524026244.

Adding to 3001713 its reverse (3171003), we get a palindrome (6172716).

The spelling of 3001713 in words is "three million, one thousand, seven hundred thirteen".

Divisors: 1 3 11 13 33 39 143 429 6997 20991 76967 90961 230901 272883 1000571 3001713