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2830806 = 2321117292
BaseRepresentation
bin1010110011000111010110
312022211010200
422303013112
51211041211
6140401330
733030036
oct12630726
95284120
102830806
111663910
12b46246
13781644
145398c6
153adb56
hex2b31d6

2830806 has 72 divisors (see below), whose sum is σ = 7337304. Its totient is φ = 779520.

The previous prime is 2830801. The next prime is 2830813. The reversal of 2830806 is 6080382.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2830806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97600 + ... + 97628.

It is an arithmetic number, because the mean of its divisors is an integer number (101907).

22830806 is an apocalyptic number.

It is a pronic number, being equal to 1682×1683.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668652).

2830806 is an abundant number, since it is smaller than the sum of its proper divisors (4506498).

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

2830806 is a wasteful number, since it uses less digits than its factorization.

2830806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2830806 is about 1682.4999257058. The cubic root of 2830806 is about 141.4609930480.

The spelling of 2830806 in words is "two million, eight hundred thirty thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 841 957 986 1122 1479 1682 1683 1914 2523 2871 2958 3366 4437 5046 5423 5742 7569 8874 9251 10846 14297 15138 16269 18502 27753 28594 32538 42891 48807 55506 83259 85782 97614 128673 157267 166518 257346 314534 471801 943602 1415403 2830806