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2982126 = 2371937101
BaseRepresentation
bin1011011000000011101110
312121111201010
423120003232
51230412001
6143530050
734230150
oct13300356
95544633
102982126
111757574
12bb9926
13805494
14578ad0
153dd8d6
hex2d80ee

2982126 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 777600.

The previous prime is 2982121. The next prime is 2982137. The reversal of 2982126 is 6212892.

2982126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2982093 and 2982102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982121) 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 31 ways as a sum of consecutive naturals, for example, 29476 + ... + 29576.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

22982126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2982126 is an abundant number, since it is smaller than the sum of its proper divisors (4459794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2982126 is a wasteful number, since it uses less digits than its factorization.

2982126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its digits is 3456, while the sum is 30.

The square root of 2982126 is about 1726.8833197411. The cubic root of 2982126 is about 143.9379555242.

The spelling of 2982126 in words is "two million, nine hundred eighty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 101 111 114 133 202 222 259 266 303 399 518 606 703 707 777 798 1406 1414 1554 1919 2109 2121 3737 3838 4218 4242 4921 5757 7474 9842 11211 11514 13433 14763 22422 26159 26866 29526 40299 52318 71003 78477 80598 142006 156954 213009 426018 497021 994042 1491063 2982126