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2000713 = 111317823
BaseRepresentation
bin111101000011101001001
310202122110111
413220131021
51003010323
6110514321
723001661
oct7503511
93678414
102000713
111147190
128059a1
13550870
143a11a1
15297c0d
hex1e8749

2000713 has 16 divisors (see below), whose sum is σ = 2491776. Its totient is φ = 1578240.

The previous prime is 2000699. The next prime is 2000717. The reversal of 2000713 is 3170002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000693 and 2000702.

It is not an unprimeable number, because it can be changed into a prime (2000717) 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 15 ways as a sum of consecutive naturals, for example, 2020 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (155736).

22000713 is an apocalyptic number.

It is an amenable number.

2000713 is a deficient number, since it is larger than the sum of its proper divisors (491063).

2000713 is a wasteful number, since it uses less digits than its factorization.

2000713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2000713 is about 1414.4656234776. The cubic root of 2000713 is about 126.0070752725.

Adding to 2000713 its reverse (3170002), we get a palindrome (5170715).

The spelling of 2000713 in words is "two million, seven hundred thirteen", and thus it is an aban number.

Divisors: 1 11 13 17 143 187 221 823 2431 9053 10699 13991 117689 153901 181883 2000713