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765064240 = 24511384631
BaseRepresentation
bin101101100110011…
…111010000110000
31222022121021211121
4231212133100300
53031324023430
6203525552024
724646636663
oct5546372060
91868537747
10765064240
1136294a0a6
12194275614
13c2670445
14738736da
1547275a7a
hex2d99f430

765064240 has 40 divisors (see below), whose sum is σ = 1794536928. Its totient is φ = 303313920.

The previous prime is 765064219. The next prime is 765064247. The reversal of 765064240 is 42460567.

765064240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 765064196 and 765064205.

It is not an unprimeable number, because it can be changed into a prime (765064247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33276 + ... + 51355.

Almost surely, 2765064240 is an apocalyptic number.

It is an amenable number.

765064240 is an abundant number, since it is smaller than the sum of its proper divisors (1029472688).

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

765064240 is a wasteful number, since it uses less digits than its factorization.

765064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84757 (or 84751 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 765064240 is about 27659.7946485508. The cubic root of 765064240 is about 914.6030268583.

The spelling of 765064240 in words is "seven hundred sixty-five million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 84631 169262 338524 423155 677048 846310 1354096 1692620 3385240 6770480 9563303 19126606 38253212 47816515 76506424 95633030 153012848 191266060 382532120 765064240