Search a number
-
+
1125444096 = 29327233741
BaseRepresentation
bin100001100010100…
…1110101000000000
32220102201111001200
41003011032220000
54301103202341
6303402101200
736614055060
oct10305165000
92812644050
101125444096
11528313897
12274aaa800
1314c21c06a
14a96833a0
1568c0edb6
hex4314ea00

1125444096 has 480 divisors, whose sum is σ = 4075239168. Its totient is φ = 291962880.

The previous prime is 1125444077. The next prime is 1125444097. The reversal of 1125444096 is 6904445211.

1125444096 is a `hidden beast` number, since 1 + 125 + 4 + 440 + 96 = 666.

It is a super-3 number, since 3×11254440963 (a number of 28 digits) contains 333 as substring.

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 1125444096.

It is not an unprimeable number, because it can be changed into a prime (1125444097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27449836 + ... + 27449876.

Almost surely, 21125444096 is an apocalyptic number.

1125444096 is a gapful number since it is divisible by the number (16) 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 1125444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584).

1125444096 is an abundant number, since it is smaller than the sum of its proper divisors (2949795072).

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

1125444096 is a wasteful number, since it uses less digits than its factorization.

1125444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1125444096 is about 33547.6392015891. The cubic root of 1125444096 is about 1040.1787463971.

The spelling of 1125444096 in words is "one billion, one hundred twenty-five million, four hundred forty-four thousand, ninety-six".