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5585040 = 243257757
BaseRepresentation
bin10101010011100010010000
3101111202020100
4111103202100
52412210130
6315412400
765320626
oct25234220
911452210
105585040
11317513a
121a54100
131207176
14a55516
15754c60
hex553890

5585040 has 60 divisors (see below), whose sum is σ = 18758844. Its totient is φ = 1489152.

The previous prime is 5585029. The next prime is 5585059. The reversal of 5585040 is 405855.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 2214144 = 1836^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 5584995 and 5585013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3159 + ... + 4598.

Almost surely, 25585040 is an apocalyptic number.

It is an amenable number.

5585040 is an abundant number, since it is smaller than the sum of its proper divisors (13173804).

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

5585040 is a wasteful number, since it uses less digits than its factorization.

5585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5585040 is about 2363.2689224885. The cubic root of 5585040 is about 177.4225278523.

The spelling of 5585040 in words is "five million, five hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7757 15514 23271 31028 38785 46542 62056 69813 77570 93084 116355 124112 139626 155140 186168 232710 279252 310280 349065 372336 465420 558504 620560 698130 930840 1117008 1396260 1861680 2792520 5585040