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2065418820 = 2232511474549
BaseRepresentation
bin111101100011011…
…1100101001000100
312022221110010222100
41323012330221010
513212221400240
6540541032100
7102116525133
oct17306745104
95287403870
102065418820
1196a969803
12497855630
1326bba091a
1415844791a
15c14d5e30
hex7b1bca44

2065418820 has 36 divisors (see below), whose sum is σ = 6265104300. Its totient is φ = 550778304.

The previous prime is 2065418819. The next prime is 2065418827. The reversal of 2065418820 is 288145602.

2065418820 is digitally balanced in base 4, 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 2 ways, for example, as 1473177924 + 592240896 = 38382^2 + 24336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2065418827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5737095 + ... + 5737454.

It is an arithmetic number, because the mean of its divisors is an integer number (174030675).

Almost surely, 22065418820 is an apocalyptic number.

2065418820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2065418820 is an abundant number, since it is smaller than the sum of its proper divisors (4199685480).

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

2065418820 is a wasteful number, since it uses less digits than its factorization.

2065418820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474564 (or 11474559 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2065418820 is about 45446.8791007699. The cubic root of 2065418820 is about 1273.5110276824.

The spelling of 2065418820 in words is "two billion, sixty-five million, four hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11474549 22949098 34423647 45898196 57372745 68847294 103270941 114745490 137694588 172118235 206541882 229490980 344236470 413083764 516354705 688472940 1032709410 2065418820