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1820010020 = 225372459473
BaseRepresentation
bin110110001111011…
…0010011000100100
311200211200002101112
41230132302120210
512211410310040
6500333044152
763046554443
oct15436623044
94624602345
101820010020
11854391514
12429626658
132300a7c0a
14133a04d5a
15a9bac365
hex6c7b2624

1820010020 has 24 divisors (see below), whose sum is σ = 3925320504. Its totient is φ = 708327936.

The previous prime is 1820010011. The next prime is 1820010029. The reversal of 1820010020 is 200100281.

It is an interprime number because it is at equal distance from previous prime (1820010011) and next prime (1820010029).

It can be written as a sum of positive squares in 4 ways, for example, as 417058084 + 1402951936 = 20422^2 + 37456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1820009977 and 1820010004.

It is not an unprimeable number, because it can be changed into a prime (1820010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228997 + ... + 1230476.

It is an arithmetic number, because the mean of its divisors is an integer number (163555021).

Almost surely, 21820010020 is an apocalyptic number.

1820010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820010020 is an abundant number, since it is smaller than the sum of its proper divisors (2105310484).

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

1820010020 is a wasteful number, since it uses less digits than its factorization.

1820010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459519 (or 2459517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1820010020 is about 42661.5754514528. The cubic root of 1820010020 is about 1220.9313903489.

The spelling of 1820010020 in words is "one billion, eight hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2459473 4918946 9837892 12297365 24594730 49189460 91000501 182001002 364002004 455002505 910005010 1820010020