Search a number
-
+
1106001040 = 24537373649
BaseRepresentation
bin100000111101100…
…0011110010010000
32212002010200012111
41001323003302100
54231114013130
6301425235104
736256565554
oct10173036220
92762120174
101106001040
11518343a51
1226a492a94
131481a22b1
14a6c61864
156716e02a
hex41ec3c90

1106001040 has 40 divisors (see below), whose sum is σ = 2640958200. Its totient is φ = 430442496.

The previous prime is 1106000999. The next prime is 1106001041. The reversal of 1106001040 is 401006011.

1106001040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 374190336 + 731810704 = 19344^2 + 27052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1106001040.

It is not an unprimeable number, because it can be changed into a prime (1106001041) 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, 183865 + ... + 189784.

It is an arithmetic number, because the mean of its divisors is an integer number (66023955).

Almost surely, 21106001040 is an apocalyptic number.

1106001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106001040 is an abundant number, since it is smaller than the sum of its proper divisors (1534957160).

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

1106001040 is a wasteful number, since it uses less digits than its factorization.

1106001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373699 (or 373693 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1106001040 is about 33256.5939326324. The cubic root of 1106001040 is about 1034.1539103476.

Adding to 1106001040 its reverse (401006011), we get a palindrome (1507007051).

The spelling of 1106001040 in words is "one billion, one hundred six million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 373649 747298 1494596 1868245 2989192 3736490 5978384 7472980 13825013 14945960 27650026 29891920 55300052 69125065 110600104 138250130 221200208 276500260 553000520 1106001040