Search a number
-
+
1125065988 = 223231251833
BaseRepresentation
bin100001100001111…
…0010010100000100
32220102000021101200
41003003302110010
54301004102423
6303350022500
736610621524
oct10303622404
92812007350
101125065988
11528085802
12274947a30
1314c118c27
14a95c5684
1568b87d43
hex430f2504

1125065988 has 18 divisors (see below), whose sum is σ = 2843916894. Its totient is φ = 375021984.

The previous prime is 1125065987. The next prime is 1125066011. The reversal of 1125065988 is 8895605211.

It is a happy number.

1125065988 is a `hidden beast` number, since 1 + 1 + 2 + 50 + 6 + 598 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 579750084 + 545315904 = 24078^2 + 23352^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11250659882 = 2531546954708832288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125065987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15625881 + ... + 15625952.

It is an arithmetic number, because the mean of its divisors is an integer number (157995383).

Almost surely, 21125065988 is an apocalyptic number.

1125065988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1125065988 is an abundant number, since it is smaller than the sum of its proper divisors (1718850906).

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

1125065988 is a wasteful number, since it uses less digits than its factorization.

1125065988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31251843 (or 31251838 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1125065988 is about 33542.0033390971. The cubic root of 1125065988 is about 1040.0622460278.

The spelling of 1125065988 in words is "one billion, one hundred twenty-five million, sixty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 31251833 62503666 93755499 125007332 187510998 281266497 375021996 562532994 1125065988