Search a number
-
+
2135784690 = 2325131825457
BaseRepresentation
bin111111101001101…
…0111110011110010
312111211212002210200
41333103113303302
513333230102230
6551533140030
7103632604344
oct17723276362
95454762720
102135784690
119a665a716
124b732a616
13280639b30
14163923294
15c7785160
hex7f4d7cf2

2135784690 has 48 divisors (see below), whose sum is σ = 5980200408. Its totient is φ = 525731328.

The previous prime is 2135784689. The next prime is 2135784713. The reversal of 2135784690 is 964875312.

2135784690 is a `hidden beast` number, since 2 + 13 + 578 + 4 + 69 + 0 = 666.

2135784690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1974824721 + 160959969 = 44439^2 + 12687^2 .

It is a super-2 number, since 2×21357846902 = 9123152484076792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2135784690 is strictly pandigital in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911559 + ... + 913898.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2135784690 = 4271569380, but 3⋅2135784690 = 6407354070 is not.

Almost surely, 22135784690 is an apocalyptic number.

2135784690 is an abundant number, since it is smaller than the sum of its proper divisors (3844415718).

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

2135784690 is a wasteful number, since it uses less digits than its factorization.

2135784690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825483 (or 1825480 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2135784690 is about 46214.5506307267. The cubic root of 2135784690 is about 1287.8120654932.

The spelling of 2135784690 in words is "two billion, one hundred thirty-five million, seven hundred eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1825457 3650914 5476371 9127285 10952742 16429113 18254570 23730941 27381855 32858226 47461882 54763710 71192823 82145565 118654705 142385646 164291130 213578469 237309410 355964115 427156938 711928230 1067892345 2135784690