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5760765 = 325313409
BaseRepresentation
bin10101111110011011111101
3101211200021200
4111332123331
52433321030
6323250113
766652143
oct25763375
911750250
105760765
11328516a
121b19939
13126914a
14a9d593
1578bd60
hex57e6fd

5760765 has 24 divisors (see below), whose sum is σ = 10041720. Its totient is φ = 3055104.

The previous prime is 5760749. The next prime is 5760767. The reversal of 5760765 is 5670675.

It can be written as a sum of positive squares in 4 ways, for example, as 257049 + 5503716 = 507^2 + 2346^2 .

It is not a de Polignac number, because 5760765 - 24 = 5760749 is a prime.

5760765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13881 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (418405).

Almost surely, 25760765 is an apocalyptic number.

It is an amenable number.

5760765 is a deficient number, since it is larger than the sum of its proper divisors (4280955).

5760765 is a wasteful number, since it uses less digits than its factorization.

5760765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5760765 is about 2400.1593697086. The cubic root of 5760765 is about 179.2641253319.

It can be divided in two parts, 576076 and 5, that added together give a square (576081 = 7592).

The spelling of 5760765 in words is "five million, seven hundred sixty thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 313 409 939 1227 1565 2045 2817 3681 4695 6135 14085 18405 128017 384051 640085 1152153 1920255 5760765