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2585840 = 24532323
BaseRepresentation
bin1001110111010011110000
311212101002212
421313103300
51130221330
6131231252
730656615
oct11672360
94771085
102585840
111506864
12a48528
136c6caa
144b450c
15361295
hex2774f0

2585840 has 20 divisors (see below), whose sum is σ = 6012264. Its totient is φ = 1034304.

The previous prime is 2585839. The next prime is 2585899. The reversal of 2585840 is 485852.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2585797 and 2585806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16082 + ... + 16241.

22585840 is an apocalyptic number.

2585840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585840 is an abundant number, since it is smaller than the sum of its proper divisors (3426424).

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

2585840 is a wasteful number, since it uses less digits than its factorization.

2585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32336 (or 32330 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2585840 is about 1608.0547254369. The cubic root of 2585840 is about 137.2568042740.

The spelling of 2585840 in words is "two million, five hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32323 64646 129292 161615 258584 323230 517168 646460 1292920 2585840