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2112979 = 11476167
BaseRepresentation
bin1000000011110111010011
310222100110111
420003313103
51020103404
6113142151
723650201
oct10036723
93870414
102112979
111213570
1285a957
1358c9ab
143d0071
152bb104
hex203dd3

2112979 has 16 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 1821600.

The previous prime is 2112973. The next prime is 2112989. The reversal of 2112979 is 9792112.

2112979 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 2112979 - 211 = 2110931 is a prime.

It is a d-powerful number, because it can be written as 213 + 1 + 1 + 221 + 93 + 73 + 94 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112973) 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, 31504 + ... + 31570.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

22112979 is an apocalyptic number.

2112979 is a deficient number, since it is larger than the sum of its proper divisors (315437).

2112979 is a wasteful number, since it uses less digits than its factorization.

2112979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its digits is 2268, while the sum is 31.

The square root of 2112979 is about 1453.6089570445. The cubic root of 2112979 is about 128.3211944816.

The spelling of 2112979 in words is "two million, one hundred twelve thousand, nine hundred seventy-nine".

Divisors: 1 11 47 61 67 517 671 737 2867 3149 4087 31537 34639 44957 192089 2112979