Search a number
-
+
11443936 = 257471087
BaseRepresentation
bin101011101001…
…111011100000
3210112102010111
4223221323200
510412201221
61045141104
7166162150
oct53517340
923472114
1011443936
116506aa9
1239ba794
1324a8b7a
14173c760
151010be1
hexae9ee0

11443936 has 48 divisors (see below), whose sum is σ = 26320896. Its totient is φ = 4795776.

The previous prime is 11443931. The next prime is 11443937. The reversal of 11443936 is 63934411.

It is a junction number, because it is equal to n+sod(n) for n = 11443898 and 11443907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9985 + ... + 11071.

It is an arithmetic number, because the mean of its divisors is an integer number (548352).

Almost surely, 211443936 is an apocalyptic number.

11443936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448).

11443936 is an abundant number, since it is smaller than the sum of its proper divisors (14876960).

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

11443936 is a wasteful number, since it uses less digits than its factorization.

11443936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 11443936 is about 3382.8887064165. Note that the first 3 decimals coincide. The cubic root of 11443936 is about 225.3504727304.

The spelling of 11443936 in words is "eleven million, four hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1087 1316 1504 2174 2632 4348 5264 7609 8696 10528 15218 17392 30436 34784 51089 60872 102178 121744 204356 243488 357623 408712 715246 817424 1430492 1634848 2860984 5721968 11443936