Search a number
-
+
1037935089 = 32107392
BaseRepresentation
bin111101110111011…
…010000111110001
32200100001120021100
4331313122013301
54111202410324
6250554315013
734502205552
oct7567320761
92610046240
101037935089
11492983aa4
1224b728a69
1313705cb99
149bbc4329
15611c64c9
hex3ddda1f1

1037935089 has 9 divisors (see below), whose sum is σ = 1499379193. Its totient is φ = 691892292.

The previous prime is 1037935033. The next prime is 1037935111. The reversal of 1037935089 is 9805397301.

It is a happy number.

The square root of 1037935089 is 32217.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1037935089 - 215 = 1037902321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1037935189) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 91282 + ... + 102020.

Almost surely, 21037935089 is an apocalyptic number.

1037935089 is the 32217-th square number.

1037935089 is the 16109-th centered octagonal number.

It is an amenable number.

1037935089 is a deficient number, since it is larger than the sum of its proper divisors (461444104).

1037935089 is an frugal number, since it uses more digits than its factorization.

1037935089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21484 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 1037935089 is about 1012.4884198035.

The spelling of 1037935089 in words is "one billion, thirty-seven million, nine hundred thirty-five thousand, eighty-nine".

Divisors: 1 3 9 10739 32217 96651 115326121 345978363 1037935089