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2968266 = 237292437
BaseRepresentation
bin1011010100101011001010
312120210200210
423110223022
51224441031
6143341550
734141560
oct13245312
95523623
102968266
111748114
12bb18b6
137cc092
14573a30
153d9746
hex2d4aca

2968266 has 32 divisors (see below), whose sum is σ = 7021440. Its totient is φ = 818496.

The previous prime is 2968261. The next prime is 2968271. The reversal of 2968266 is 6628692.

2968266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2968266 is a nontrivial binomial coefficient, being equal to C(2437, 2).

It is an interprime number because it is at equal distance from previous prime (2968261) and next prime (2968271).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2968261) 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, 1 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (219420).

22968266 is an apocalyptic number.

2968266 is the 2436-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510720).

2968266 is an abundant number, since it is smaller than the sum of its proper divisors (4053174).

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

2968266 is a wasteful number, since it uses less digits than its factorization.

2968266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its digits is 62208, while the sum is 39.

The square root of 2968266 is about 1722.8656360843. The cubic root of 2968266 is about 143.7146161177.

The spelling of 2968266 in words is "two million, nine hundred sixty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2437 4874 7311 14622 17059 34118 51177 70673 102354 141346 212019 424038 494711 989422 1484133 2968266