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1838000020 = 225101909901
BaseRepresentation
bin110110110001101…
…1010011110010100
311202002112002000211
41231203122132110
512231012000040
6502214415204
763355512433
oct15543323624
94662462024
101838000020
1186355968a
12433661504
13233a3649c
1413616911a
15ab5628ea
hex6d8da794

1838000020 has 24 divisors (see below), whose sum is σ = 3898020168. Its totient is φ = 727920000.

The previous prime is 1837999987. The next prime is 1838000027. The reversal of 1838000020 is 200008381.

It can be written as a sum of positive squares in 4 ways, for example, as 89756676 + 1748243344 = 9474^2 + 41812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1837999955 and 1838000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452931 + ... + 456970.

It is an arithmetic number, because the mean of its divisors is an integer number (162417507).

Almost surely, 21838000020 is an apocalyptic number.

1838000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1838000020 is an abundant number, since it is smaller than the sum of its proper divisors (2060020148).

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

1838000020 is a wasteful number, since it uses less digits than its factorization.

1838000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910011 (or 910009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1838000020 is about 42871.9024537050. The cubic root of 1838000020 is about 1224.9409984077.

The spelling of 1838000020 in words is "one billion, eight hundred thirty-eight million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 909901 1819802 3639604 4549505 9099010 18198020 91900001 183800002 367600004 459500005 919000010 1838000020