Search a number
-
+
1107575136 = 25323845747
BaseRepresentation
bin100001000000100…
…0100000101100000
32212012002122110100
41002001010011200
54232014401021
6301523102400
736306143013
oct10201040540
92765078410
101107575136
11519219658
1226ab11a00
13148603905
14a715137a
1567380626
hex42044160

1107575136 has 36 divisors (see below), whose sum is σ = 3149667612. Its totient is φ = 369191616.

The previous prime is 1107575129. The next prime is 1107575141. The reversal of 1107575136 is 6315757011.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1107575136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1922586 + ... + 1923161.

It is an arithmetic number, because the mean of its divisors is an integer number (87490767).

Almost surely, 21107575136 is an apocalyptic number.

1107575136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1107575136 is an abundant number, since it is smaller than the sum of its proper divisors (2042092476).

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

1107575136 is a wasteful number, since it uses less digits than its factorization.

1107575136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845763 (or 3845752 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 1107575136 is about 33280.2514413578. The cubic root of 1107575136 is about 1034.6442914027.

The spelling of 1107575136 in words is "one billion, one hundred seven million, five hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3845747 7691494 11537241 15382988 23074482 30765976 34611723 46148964 61531952 69223446 92297928 123063904 138446892 184595856 276893784 369191712 553787568 1107575136