Search a number
-
+
2140436766 = 2313269102013
BaseRepresentation
bin111111110010100…
…0111100100011110
312112011121110020210
41333211013210132
513340422434031
6552220553250
7104020261266
oct17745074436
95464543223
102140436766
119a9247906
124b89b2826
132815a8440
141643b47a6
15c7da3746
hex7f94791e

2140436766 has 32 divisors (see below), whose sum is σ = 4627355040. Its totient is φ = 656141184.

The previous prime is 2140436761. The next prime is 2140436777. The reversal of 2140436766 is 6676340412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140436761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30025 + ... + 71988.

It is an arithmetic number, because the mean of its divisors is an integer number (144604845).

Almost surely, 22140436766 is an apocalyptic number.

2140436766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2140436766 is an abundant number, since it is smaller than the sum of its proper divisors (2486918274).

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

2140436766 is a wasteful number, since it uses less digits than its factorization.

2140436766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102300.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2140436766 is about 46264.8545442434. The cubic root of 2140436766 is about 1288.7464067224.

The spelling of 2140436766 in words is "two billion, one hundred forty million, four hundred thirty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 269 538 807 1614 3497 6994 10491 20982 102013 204026 306039 612078 1326169 2652338 3978507 7957014 27441497 54882994 82324491 164648982 356739461 713478922 1070218383 2140436766