Search a number
-
+
2831080 = 235710111
BaseRepresentation
bin1010110011001011101000
312022211111211
422303023220
51211043310
6140402504
733030610
oct12631350
95284454
102831080
11166403a
12b46434
137817c5
14539a40
153adc8a
hex2b32e8

2831080 has 32 divisors (see below), whose sum is σ = 7280640. Its totient is φ = 970560.

The previous prime is 2831069. The next prime is 2831089. The reversal of 2831080 is 801382.

2831080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831089) 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 7 ways as a sum of consecutive naturals, for example, 4776 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (227520).

22831080 is an apocalyptic number.

2831080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2831080 is an abundant number, since it is smaller than the sum of its proper divisors (4449560).

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

2831080 is a wasteful number, since it uses less digits than its factorization.

2831080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2831080 is about 1682.5813501879. The cubic root of 2831080 is about 141.4655570086.

The spelling of 2831080 in words is "two million, eight hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10111 20222 40444 50555 70777 80888 101110 141554 202220 283108 353885 404440 566216 707770 1415540 2831080