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2830146 = 2311137313
BaseRepresentation
bin1010110010111101000010
312022210020020
422302331002
51211031041
6140354310
733025104
oct12627502
95283206
102830146
111663370
12b45996
13781257
14539574
153ad866
hex2b2f42

2830146 has 32 divisors (see below), whose sum is σ = 6239808. Its totient is φ = 848640.

The previous prime is 2830141. The next prime is 2830151. The reversal of 2830146 is 6410382.

It is a happy number.

2830146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2830141) and next prime (2830151).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2830141) 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, 8886 + ... + 9198.

It is an arithmetic number, because the mean of its divisors is an integer number (194994).

22830146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119904).

2830146 is an abundant number, since it is smaller than the sum of its proper divisors (3409662).

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

2830146 is a wasteful number, since it uses less digits than its factorization.

2830146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2830146 is about 1682.3037775622. The cubic root of 2830146 is about 141.4499983569.

The spelling of 2830146 in words is "two million, eight hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 137 274 313 411 626 822 939 1507 1878 3014 3443 4521 6886 9042 10329 20658 42881 85762 128643 257286 471691 943382 1415073 2830146