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765011130 = 2351311317359
BaseRepresentation
bin101101100110010…
…010010010111010
31222022111120222120
4231212102102322
53031320324010
6203524502110
724646326102
oct5546222272
91868446876
10765011130
11362913204
1219424a936
13c2652210
147385c202
1547264e70
hex2d9924ba

765011130 has 64 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 186633216.

The previous prime is 765011081. The next prime is 765011131. The reversal of 765011130 is 31110567.

765011130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 765011130.

It is not an unprimeable number, because it can be changed into a prime (765011131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35391 + ... + 52749.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 2765011130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

765011130 is an abundant number, since it is smaller than the sum of its proper divisors (1229861190).

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

765011130 is a wasteful number, since it uses less digits than its factorization.

765011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17495.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 765011130 is about 27658.8345741465. The cubic root of 765011130 is about 914.5818627572.

Adding to 765011130 its reverse (31110567), we get a palindrome (796121697).

The spelling of 765011130 in words is "seven hundred sixty-five million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 1130 1469 1695 2938 3390 4407 7345 8814 14690 17359 22035 34718 44070 52077 86795 104154 173590 225667 260385 451334 520770 677001 1128335 1354002 1961567 2256670 3385005 3923134 5884701 6770010 9807835 11769402 19615670 25500371 29423505 51000742 58847010 76501113 127501855 153002226 255003710 382505565 765011130