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6730960 = 24584137
BaseRepresentation
bin11001101011010011010000
3110122222010211
4121223103100
53210342320
6400133504
7111132535
oct31532320
913588124
106730960
113888085
122307294
131518922
14c72d8c
158ce55a
hex66b4d0

6730960 has 20 divisors (see below), whose sum is σ = 15649668. Its totient is φ = 2692352.

The previous prime is 6730951. The next prime is 6730961. The reversal of 6730960 is 690376.

It can be written as a sum of positive squares in 2 ways, for example, as 4145296 + 2585664 = 2036^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41989 + ... + 42148.

Almost surely, 26730960 is an apocalyptic number.

It is an amenable number.

6730960 is an abundant number, since it is smaller than the sum of its proper divisors (8918708).

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

6730960 is a wasteful number, since it uses less digits than its factorization.

6730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84150 (or 84144 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 6730960 is about 2594.4093740195. The cubic root of 6730960 is about 188.8102946125.

The spelling of 6730960 in words is "six million, seven hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 84137 168274 336548 420685 673096 841370 1346192 1682740 3365480 6730960