Search a number
-
+
2135864970 = 233531255181
BaseRepresentation
bin111111101001110…
…1011011010001010
312111212000011221000
41333103223122022
513333240134340
6551534555430
7103633360401
oct17723533212
95455004830
102135864970
119a6704a68
124b7368b76
13280667535
14163944638
15c779dd30
hex7f4eb68a

2135864970 has 64 divisors (see below), whose sum is σ = 5879393280. Its totient is φ = 551188800.

The previous prime is 2135864933. The next prime is 2135865007. The reversal of 2135864970 is 794685312.

2135864970 is a `hidden beast` number, since 21 + 3 + 586 + 49 + 7 + 0 = 666.

2135864970 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2135864933) and next prime (2135865007).

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

2135864970 is strictly pandigital in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 119221 + ... + 135960.

It is an arithmetic number, because the mean of its divisors is an integer number (91865520).

It is a 1-persistent number, because it is pandigital, but 2⋅2135864970 = 4271729940 is not.

Almost surely, 22135864970 is an apocalyptic number.

2135864970 is an abundant number, since it is smaller than the sum of its proper divisors (3743528310).

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

2135864970 is a wasteful number, since it uses less digits than its factorization.

2135864970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255228 (or 255222 counting only the distinct ones).

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

The square root of 2135864970 is about 46215.4191801827. The cubic root of 2135864970 is about 1287.8282007428.

The spelling of 2135864970 in words is "two billion, one hundred thirty-five million, eight hundred sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 255181 510362 765543 1275905 1531086 2296629 2551810 3827715 4593258 6889887 7655430 7910611 11483145 13779774 15821222 22966290 23731833 34449435 39553055 47463666 68898870 71195499 79106110 118659165 142390998 213586497 237318330 355977495 427172994 711954990 1067932485 2135864970