Search a number
-
+
1113185466 = 232174218641
BaseRepresentation
bin100001001011001…
…1101110010111010
32212120122200101100
41002112131302322
54234433413331
6302243232230
736404630451
oct10226356272
92776580340
101113185466
11521400798
12270978676
13149819433
14a7bb1b98
1567adcae6
hex4259dcba

1113185466 has 48 divisors (see below), whose sum is σ = 2560140648. Its totient is φ = 348364800.

The previous prime is 1113185461. The next prime is 1113185467. The reversal of 1113185466 is 6645813111.

It is a happy number.

1113185466 is a `hidden beast` number, since 1 + 1 + 13 + 185 + 466 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417017241 + 696168225 = 20421^2 + 26385^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1113185466.

It is not an unprimeable number, because it can be changed into a prime (1113185461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124506 + ... + 133146.

Almost surely, 21113185466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113185466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280070324).

1113185466 is an abundant number, since it is smaller than the sum of its proper divisors (1446955182).

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

1113185466 is a wasteful number, since it uses less digits than its factorization.

1113185466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9084 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1113185466 is about 33364.4341477568. The cubic root of 1113185466 is about 1036.3883182529.

Adding to 1113185466 its reverse (6645813111), we get a palindrome (7758998577).

The spelling of 1113185466 in words is "one billion, one hundred thirteen million, one hundred eighty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 421 842 1263 2526 3789 7157 7578 8641 14314 17282 21471 25923 42942 51846 64413 77769 128826 146897 155538 293794 440691 881382 1322073 2644146 3637861 7275722 10913583 21827166 32740749 61843637 65481498 123687274 185530911 371061822 556592733 1113185466