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1800419401 = 11792279127
BaseRepresentation
bin110101101010000…
…0011100001001001
311122110210210010001
41223110003201021
512141401410101
6454353123001
762421212104
oct15324034111
94573723101
101800419401
11844320820
12422b59461
13229008c31
1413118573b
15a80dc901
hex6b503849

1800419401 has 16 divisors (see below), whose sum is σ = 1997936640. Its totient is φ = 1608731280.

The previous prime is 1800419311. The next prime is 1800419407. The reversal of 1800419401 is 1049140081.

It is a cyclic number.

It is not a de Polignac number, because 1800419401 - 29 = 1800418889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1800419401.

It is not an unprimeable number, because it can be changed into a prime (1800419407) 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, 192700 + ... + 201826.

It is an arithmetic number, because the mean of its divisors is an integer number (124871040).

Almost surely, 21800419401 is an apocalyptic number.

1800419401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1800419401 is a deficient number, since it is larger than the sum of its proper divisors (197517239).

1800419401 is a wasteful number, since it uses less digits than its factorization.

1800419401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1800419401 is about 42431.3492714997. The cubic root of 1800419401 is about 1216.5348688742.

Adding to 1800419401 its reverse (1049140081), we get a palindrome (2849559482).

It can be divided in two parts, 1800 and 419401, that added together give a square (421201 = 6492).

The spelling of 1800419401 in words is "one billion, eight hundred million, four hundred nineteen thousand, four hundred one".

Divisors: 1 11 79 227 869 2497 9127 17933 100397 197263 721033 2071829 7931363 22790119 163674491 1800419401