Search a number
-
+
1006055060 = 22550302753
BaseRepresentation
bin111011111101110…
…010111010010100
32121010001220002112
4323331302322110
54030022230220
6243455130152
733634220063
oct7375627224
92533056075
101006055060
1147698a06a
12240b13958
1313057a26a
14978861da
155d4ca5c5
hex3bf72e94

1006055060 has 12 divisors (see below), whose sum is σ = 2112715668. Its totient is φ = 402422016.

The previous prime is 1006055051. The next prime is 1006055077. The reversal of 1006055060 is 605506001.

It can be written as a sum of positive squares in 2 ways, for example, as 259016836 + 747038224 = 16094^2 + 27332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25151357 + ... + 25151396.

It is an arithmetic number, because the mean of its divisors is an integer number (176059639).

Almost surely, 21006055060 is an apocalyptic number.

1006055060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006055060 is an abundant number, since it is smaller than the sum of its proper divisors (1106660608).

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

1006055060 is a wasteful number, since it uses less digits than its factorization.

1006055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50302762 (or 50302760 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1006055060 is about 31718.3710174404. The cubic root of 1006055060 is about 1002.0142932319.

The spelling of 1006055060 in words is "one billion, six million, fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 50302753 100605506 201211012 251513765 503027530 1006055060