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2832940 = 2251179163
BaseRepresentation
bin1010110011101000101100
312022221001201
422303220230
51211123230
6140415244
733036205
oct12635054
95287051
102832940
111665480
12b47524
137825c6
1453a5ac
153ae5ca
hex2b3a2c

2832940 has 48 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 1010880.

The previous prime is 2832917. The next prime is 2832941. The reversal of 2832940 is 492382.

2832940 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 = 2832899 and 2832908.

It is not an unprimeable number, because it can be changed into a prime (2832941) 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, 17299 + ... + 17461.

It is an arithmetic number, because the mean of its divisors is an integer number (137760).

22832940 is an apocalyptic number.

2832940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2832940 is an abundant number, since it is smaller than the sum of its proper divisors (3779540).

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

2832940 is a wasteful number, since it uses less digits than its factorization.

2832940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2832940 is about 1683.1339815950. The cubic root of 2832940 is about 141.4965308576.

It can be divided in two parts, 283 and 2940, that added together give a palindrome (3223).

The spelling of 2832940 in words is "two million, eight hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 163 220 316 326 395 652 790 815 869 1580 1630 1738 1793 3260 3476 3586 4345 7172 8690 8965 12877 17380 17930 25754 35860 51508 64385 128770 141647 257540 283294 566588 708235 1416470 2832940