Search a number
-
+
11434540 = 22513217199
BaseRepresentation
bin101011100111…
…101000101100
3210111221020111
4223213220230
510411401130
61045025404
7166122565
oct53475054
923457214
1011434540
1164aaa37
1239b5264
1324a4800
14173916c
15100d02a
hexae7a2c

11434540 has 72 divisors (see below), whose sum is σ = 27669600. Its totient is φ = 3953664.

The previous prime is 11434529. The next prime is 11434541. The reversal of 11434540 is 4543411.

It is not an unprimeable number, because it can be changed into a prime (11434541) 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 23 ways as a sum of consecutive naturals, for example, 57361 + ... + 57559.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 211434540 is an apocalyptic number.

11434540 is a gapful number since it is divisible by the number (10) 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 11434540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834800).

11434540 is an abundant number, since it is smaller than the sum of its proper divisors (16235060).

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

11434540 is a wasteful number, since it uses less digits than its factorization.

11434540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 11434540 is about 3381.4996673074. The cubic root of 11434540 is about 225.2887814615.

Adding to 11434540 its reverse (4543411), we get a palindrome (15977951).

It can be divided in two parts, 114345 and 40, that multiplied together give a triangular number (4573800 = T3024).

The spelling of 11434540 in words is "eleven million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 199 221 260 338 340 398 442 676 796 845 884 995 1105 1690 1990 2210 2587 2873 3380 3383 3980 4420 5174 5746 6766 10348 11492 12935 13532 14365 16915 25870 28730 33631 33830 43979 51740 57460 67262 67660 87958 134524 168155 175916 219895 336310 439790 571727 672620 879580 1143454 2286908 2858635 5717270 11434540