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2883140 = 225132853
BaseRepresentation
bin1010111111111001000100
312102110220222
422333321010
51214230030
6141443512
733335441
oct12777104
95373828
102883140
11169a167
12b70598
1379c400
145509c8
153be3e5
hex2bfe44

2883140 has 36 divisors (see below), whose sum is σ = 6563844. Its totient is φ = 1063296.

The previous prime is 2883113. The next prime is 2883143. The reversal of 2883140 is 413882.

It can be written as a sum of positive squares in 6 ways, for example, as 1290496 + 1592644 = 1136^2 + 1262^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2883143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2954 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (182329).

22883140 is an apocalyptic number.

2883140 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 2883140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281922).

2883140 is an abundant number, since it is smaller than the sum of its proper divisors (3680704).

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

2883140 is a wasteful number, since it uses less digits than its factorization.

2883140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2883140 is about 1697.9811541946. The cubic root of 2883140 is about 142.3274200891.

The spelling of 2883140 in words is "two million, eight hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 853 1690 1706 3380 3412 4265 8530 11089 17060 22178 44356 55445 110890 144157 221780 288314 576628 720785 1441570 2883140