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765040113 = 3328334819
BaseRepresentation
bin101101100110011…
…001010111110001
31222022120001202000
4231212121113301
53031322240423
6203525244213
724646506435
oct5546312761
91868501660
10765040113
11362932a62
12194263669
13c2662476
14738689c5
154726d843
hex2d9995f1

765040113 has 8 divisors (see below), whose sum is σ = 1133392800. Its totient is φ = 510026724.

The previous prime is 765040091. The next prime is 765040117. The reversal of 765040113 is 311040567.

765040113 is a `hidden beast` number, since 7 + 650 + 4 + 0 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 765040113 - 212 = 765036017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 28334819 = 765040113 / (7 + 6 + 5 + 0 + 4 + 0 + 1 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (765040117) 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 7 ways as a sum of consecutive naturals, for example, 14167383 + ... + 14167436.

It is an arithmetic number, because the mean of its divisors is an integer number (141674100).

Almost surely, 2765040113 is an apocalyptic number.

It is an amenable number.

765040113 is a deficient number, since it is larger than the sum of its proper divisors (368352687).

765040113 is a wasteful number, since it uses less digits than its factorization.

765040113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334828 (or 28334822 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 765040113 is about 27659.3585066610. The cubic root of 765040113 is about 914.5934124765.

The spelling of 765040113 in words is "seven hundred sixty-five million, forty thousand, one hundred thirteen".

Divisors: 1 3 9 27 28334819 85004457 255013371 765040113