Search a number
-
+
6065000640 = 2632519236179
BaseRepresentation
bin1011010011000000…
…01001000011000000
3120122200100221210100
411221200021003000
544410120010030
62441454002400
7303203440416
oct55140110300
916580327710
106065000640
112632597826
1212131a6400
137586a6b9a
144176cd2b6
152576c7360
hex1698090c0

6065000640 has 672 divisors, whose sum is σ = 23584204800. Its totient is φ = 1423319040.

The previous prime is 6065000629. The next prime is 6065000647. The reversal of 6065000640 is 460005606.

6065000640 is a `hidden beast` number, since 6 + 0 + 650 + 0 + 0 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6065000647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76772121 + ... + 76772199.

Almost surely, 26065000640 is an apocalyptic number.

6065000640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6065000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792102400).

6065000640 is an abundant number, since it is smaller than the sum of its proper divisors (17519204160).

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

6065000640 is a wasteful number, since it uses less digits than its factorization.

6065000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6065000640 is about 77878.1139987352. The cubic root of 6065000640 is about 1823.6589274544.

The spelling of 6065000640 in words is "six billion, sixty-five million, six hundred forty", and thus it is an aban number.