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2582840 = 235134967
BaseRepresentation
bin1001110110100100111000
311212012222202
421312210320
51130122330
6131205332
730645101
oct11664470
94765882
102582840
111504587
12a46848
136c5810
144b33a8
15360445
hex276938

2582840 has 32 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 953472.

The previous prime is 2582837. The next prime is 2582863. The reversal of 2582840 is 482852.

2582840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 1964 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

22582840 is an apocalyptic number.

2582840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582840 is an abundant number, since it is smaller than the sum of its proper divisors (3676840).

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

2582840 is a wasteful number, since it uses less digits than its factorization.

2582840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2582840 is about 1607.1216506537. The cubic root of 2582840 is about 137.2037035722.

The spelling of 2582840 in words is "two million, five hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4967 9934 19868 24835 39736 49670 64571 99340 129142 198680 258284 322855 516568 645710 1291420 2582840