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5760018 = 233119697
BaseRepresentation
bin10101111110010000010010
3101211122021000
4111332100102
52433310033
6323242430
766650025
oct25762022
911748230
105760018
113284650
121b19416
1312689c4
14a9d1bc
1578ba13
hex57e412

5760018 has 32 divisors (see below), whose sum is σ = 13965120. Its totient is φ = 1745280.

The previous prime is 5760011. The next prime is 5760071. The reversal of 5760018 is 8100675.

5760018 is a `hidden beast` number, since 57 + 600 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5759973 and 5760000.

It is not an unprimeable number, because it can be changed into a prime (5760011) 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 15 ways as a sum of consecutive naturals, for example, 4255 + ... + 5442.

It is an arithmetic number, because the mean of its divisors is an integer number (436410).

Almost surely, 25760018 is an apocalyptic number.

5760018 is an abundant number, since it is smaller than the sum of its proper divisors (8205102).

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

5760018 is a wasteful number, since it uses less digits than its factorization.

5760018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5760018 is about 2400.0037499971. The cubic root of 5760018 is about 179.2563765873.

The spelling of 5760018 in words is "five million, seven hundred sixty thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 9697 19394 29091 58182 87273 106667 174546 213334 261819 320001 523638 640002 960003 1920006 2880009 5760018