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960913845 = 32546212
BaseRepresentation
bin111001010001100…
…110000110110101
32110222010110222200
4321101212012311
53431443220340
6235203415113
732545430043
oct7121460665
92428113880
10960913845
11453457881
12229984499
13124103598
1491895393
1559560330
hex394661b5

960913845 has 18 divisors (see below), whose sum is σ = 1665944514. Its totient is φ = 512376480.

The previous prime is 960913841. The next prime is 960913867. The reversal of 960913845 is 548319069.

It is a happy number.

960913845 is a `hidden beast` number, since 9 + 609 + 1 + 38 + 4 + 5 = 666.

960913845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35354916 + 925558929 = 5946^2 + 30423^2 .

It is not a de Polignac number, because 960913845 - 22 = 960913841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 960913845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960913841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 205635 + ... + 210255.

It is an arithmetic number, because the mean of its divisors is an integer number (92552473).

Almost surely, 2960913845 is an apocalyptic number.

It is an amenable number.

960913845 is a deficient number, since it is larger than the sum of its proper divisors (705030669).

960913845 is an frugal number, since it uses more digits than its factorization.

960913845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 960913845 is about 30998.6103720796. The cubic root of 960913845 is about 986.7977492911.

Multiplying 960913845 by its sum of digits (45), we get a square (43241123025 = 2079452).

960913845 divided by its sum of digits (45) gives a square (21353641 = 46212).

Multiplying 960913845 by its product of nonzero digits (233280), we get a square (224161981761600 = 149720402).

The spelling of 960913845 in words is "nine hundred sixty million, nine hundred thirteen thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 4621 13863 23105 41589 69315 207945 21353641 64060923 106768205 192182769 320304615 960913845