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2079 = 33711
BaseRepresentation
bin100000011111
32212000
4200133
531304
613343
76030
oct4037
92760
102079
111620
121253
13c3c
14a87
15939
hex81f

2079 has 16 divisors (see below), whose sum is σ = 3840. Its totient is φ = 1080.

The previous prime is 2069. The next prime is 2081. The reversal of 2079 is 9702.

Subtracting from 2079 its product of nonzero digits (126), we obtain a triangular number (1953 = T62).

Adding to 2079 its reverse (9702), we get a triangular number (11781 = T153).

It can be divided in two parts, 207 and 9, that added together give a cube (216 = 63).

2079 = 52 + 62 + ... + 182.

2079 is nontrivially palindromic in base 13 and base 15.

2079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2079 - 24 = 2063 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

2079 is an undulating number in base 13 and base 15.

2079 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

22079 is an apocalyptic number.

2079 is a deficient number, since it is larger than the sum of its proper divisors (1761).

2079 is a wasteful number, since it uses less digits than its factorization.

With its successor (2080) it forms an eRAP, since the sums of their prime factors are consecutive (27 and 28).

2079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2079 is about 45.5960524607. The cubic root of 2079 is about 12.7629625953.

The spelling of 2079 in words is "two thousand, seventy-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079