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960047005 = 5892299421
BaseRepresentation
bin111001001110010…
…010011110011101
32110220111102220111
4321032102132131
53431233001010
6235133050021
732535156601
oct7116223635
92426442814
10960047005
11452a15585
12229626911
13123b8bb68
149170b501
155943d58a
hex3939279d

960047005 has 16 divisors (see below), whose sum is σ = 1170212400. Its totient is φ = 756011520.

The previous prime is 960047003. The next prime is 960047009. The reversal of 960047005 is 500740069.

It can be written as a sum of positive squares in 8 ways, for example, as 4186116 + 955860889 = 2046^2 + 30917^2 .

It is not a de Polignac number, because 960047005 - 21 = 960047003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960047003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97195 + ... + 106615.

It is an arithmetic number, because the mean of its divisors is an integer number (73138275).

Almost surely, 2960047005 is an apocalyptic number.

It is an amenable number.

960047005 is a deficient number, since it is larger than the sum of its proper divisors (210165395).

960047005 is a wasteful number, since it uses less digits than its factorization.

960047005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 960047005 is about 30984.6253003001. The cubic root of 960047005 is about 986.5009300664.

The spelling of 960047005 in words is "nine hundred sixty million, forty-seven thousand, five".

Divisors: 1 5 89 229 445 1145 9421 20381 47105 101905 838469 2157409 4192345 10787045 192009401 960047005