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2065208080 = 2451319310289
BaseRepresentation
bin111101100011000…
…1001001100010000
312022221001102220011
41323012021030100
513212143124310
6540532324304
7102114656545
oct17306111420
95287042804
102065208080
1196a835441
12497773694
1326bb28a20
141583d0bcc
15c149378a
hex7b189310

2065208080 has 80 divisors (see below), whose sum is σ = 5198261040. Its totient is φ = 758513664.

The previous prime is 2065208071. The next prime is 2065208081. The reversal of 2065208080 is 808025602.

It can be written as a sum of positive squares in 8 ways, for example, as 64256256 + 2000951824 = 8016^2 + 44732^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2065208081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195576 + ... + 205864.

It is an arithmetic number, because the mean of its divisors is an integer number (64978263).

Almost surely, 22065208080 is an apocalyptic number.

2065208080 is a gapful number since it is divisible by the number (20) 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 2065208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599130520).

2065208080 is an abundant number, since it is smaller than the sum of its proper divisors (3133052960).

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

2065208080 is a wasteful number, since it uses less digits than its factorization.

2065208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2065208080 is about 45444.5605105826. The cubic root of 2065208080 is about 1273.4677130062.

The spelling of 2065208080 in words is "two billion, sixty-five million, two hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 193 208 260 386 520 772 965 1040 1544 1930 2509 3088 3860 5018 7720 10036 10289 12545 15440 20072 20578 25090 40144 41156 50180 51445 82312 100360 102890 133757 164624 200720 205780 267514 411560 535028 668785 823120 1070056 1337570 1985777 2140112 2675140 3971554 5350280 7943108 9928885 10700560 15886216 19857770 25815101 31772432 39715540 51630202 79431080 103260404 129075505 158862160 206520808 258151010 413041616 516302020 1032604040 2065208080