Search a number
-
+
1009166868 = 2232149188137
BaseRepresentation
bin111100001001101…
…010101000010100
32121022220222200200
4330021222220110
54031321314433
6244045540500
734002530313
oct7411525024
92538828620
101009166868
11478715006
12241b74730
131310c9778
149805627a
155d8e2613
hex3c26aa14

1009166868 has 36 divisors (see below), whose sum is σ = 2568083700. Its totient is φ = 334129536.

The previous prime is 1009166867. The next prime is 1009166887. The reversal of 1009166868 is 8686619001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 531394704 + 477772164 = 23052^2 + 21858^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009166867) 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 11 ways as a sum of consecutive naturals, for example, 88705 + ... + 99432.

Almost surely, 21009166868 is an apocalyptic number.

1009166868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1009166868 is an abundant number, since it is smaller than the sum of its proper divisors (1558916832).

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

1009166868 is a wasteful number, since it uses less digits than its factorization.

1009166868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188296 (or 188291 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1009166868 is about 31767.3868613709. The cubic root of 1009166868 is about 1003.0463330979.

The spelling of 1009166868 in words is "one billion, nine million, one hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 188137 376274 564411 752548 1128822 1693233 2257644 3386466 6772932 28032413 56064826 84097239 112129652 168194478 252291717 336388956 504583434 1009166868