Search a number
-
+
1106542424 = 2313371372099
BaseRepresentation
bin100000111110100…
…0111111101011000
32212010011011211202
41001331013331120
54231233324144
6301445013332
736264312131
oct10175077530
92763134752
101106542424
11518683779
1226a6b4248
13148331840
14a6d62c88
156722964e
hex41f47f58

1106542424 has 64 divisors (see below), whose sum is σ = 2312604000. Its totient is φ = 493046784.

The previous prime is 1106542421. The next prime is 1106542439. The reversal of 1106542424 is 4242456011.

It is a super-2 number, since 2×11065424242 = 2448872272223591552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106542421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526127 + ... + 528225.

Almost surely, 21106542424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106542424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156302000).

1106542424 is an abundant number, since it is smaller than the sum of its proper divisors (1206061576).

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

1106542424 is a wasteful number, since it uses less digits than its factorization.

1106542424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1106542424 is about 33264.7324354187. The cubic root of 1106542424 is about 1034.3226211755.

Adding to 1106542424 its reverse (4242456011), we get a palindrome (5348998435).

The spelling of 1106542424 in words is "one billion, one hundred six million, five hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 137 148 274 296 481 548 962 1096 1781 1924 2099 3562 3848 4198 5069 7124 8396 10138 14248 16792 20276 27287 40552 54574 65897 77663 109148 131794 155326 218296 263588 287563 310652 527176 575126 621304 1009619 1150252 2019238 2300504 3738319 4038476 7476638 8076952 10639831 14953276 21279662 29906552 42559324 85118648 138317803 276635606 553271212 1106542424