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5760036 = 2232160001
BaseRepresentation
bin10101111110010000100100
3101211122021200
4111332100210
52433310121
6323242500
766650052
oct25762044
911748250
105760036
113284667
121b19430
131268a09
14a9d1d2
1578ba26
hex57e424

5760036 has 18 divisors (see below), whose sum is σ = 14560182. Its totient is φ = 1920000.

The previous prime is 5760011. The next prime is 5760071. The reversal of 5760036 is 6300675.

5760036 is a `hidden beast` number, since 57 + 600 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 36 = 2400^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 5759991 and 5760009.

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 5 ways as a sum of consecutive naturals, for example, 79965 + ... + 80036.

It is an arithmetic number, because the mean of its divisors is an integer number (808899).

Almost surely, 25760036 is an apocalyptic number.

It is an amenable number.

5760036 is an abundant number, since it is smaller than the sum of its proper divisors (8800146).

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

5760036 is a wasteful number, since it uses less digits than its factorization.

5760036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160011 (or 160006 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5760036 is about 2400.0074999883. The cubic root of 5760036 is about 179.2565633119.

It can be divided in two parts, 57600 and 36, that multiplied together give a square (2073600 = 14402).

The spelling of 5760036 in words is "five million, seven hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 160001 320002 480003 640004 960006 1440009 1920012 2880018 5760036