Search a number
-
+
132811844 = 221123263499
BaseRepresentation
bin1111110101010…
…00110001000100
3100020220112121012
413322220301010
5232444434334
621102341352
73201611354
oct772506104
9306815535
10132811844
1168a72560
123858a858
13216915b9
14138d2b64
15b9d69ce
hex7ea8c44

132811844 has 48 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 57409440.

The previous prime is 132811841. The next prime is 132811853. The reversal of 132811844 is 448118231.

It is a happy number.

132811844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132811844.

It is not an unprimeable number, because it can be changed into a prime (132811841) 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 15 ways as a sum of consecutive naturals, for example, 265907 + ... + 266405.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2132811844 is an apocalyptic number.

It is an amenable number.

132811844 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

132811844 is a wasteful number, since it uses less digits than its factorization.

132811844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 132811844 is about 11524.4021103049. The cubic root of 132811844 is about 510.2060477177.

The spelling of 132811844 in words is "one hundred thirty-two million, eight hundred eleven thousand, eight hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 253 263 499 506 526 998 1012 1052 1996 2893 5489 5786 6049 10978 11477 11572 12098 21956 22954 24196 45908 66539 126247 131237 133078 252494 262474 266156 504988 524948 1443607 2887214 3018451 5774428 6036902 12073804 33202961 66405922 132811844