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2830932 = 22321323263
BaseRepresentation
bin1010110011001001010100
312022211022100
422303021110
51211042212
6140402100
733030306
oct12631124
95284270
102830932
111663a15
12b46330
13781710
14539976
153adbdc
hex2b3254

2830932 has 72 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 830016.

The previous prime is 2830921. The next prime is 2830937. The reversal of 2830932 is 2390382.

It is a junction number, because it is equal to n+sod(n) for n = 2830896 and 2830905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10633 + ... + 10895.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22830932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

2830932 is an abundant number, since it is smaller than the sum of its proper divisors (5241132).

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

2830932 is a wasteful number, since it uses less digits than its factorization.

2830932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2830932 is about 1682.5373695701. The cubic root of 2830932 is about 141.4630918402.

The spelling of 2830932 in words is "two million, eight hundred thirty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 263 276 299 414 468 526 598 789 828 897 1052 1196 1578 1794 2367 2691 3156 3419 3588 4734 5382 6049 6838 9468 10257 10764 12098 13676 18147 20514 24196 30771 36294 41028 54441 61542 72588 78637 108882 123084 157274 217764 235911 314548 471822 707733 943644 1415466 2830932