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2004023440 = 24525050293
BaseRepresentation
bin111011101110010…
…1111100010010000
312011122220221100101
41313130233202100
513101012222230
6530505102144
7100442626636
oct16734574220
95148827311
102004023440
11939245521
1247b187954
1325c2557b3
14150225356
15bae09aca
hex7772f890

2004023440 has 20 divisors (see below), whose sum is σ = 4659354684. Its totient is φ = 801609344.

The previous prime is 2004023431. The next prime is 2004023467. The reversal of 2004023440 is 443204002.

It can be written as a sum of positive squares in 2 ways, for example, as 1184461056 + 819562384 = 34416^2 + 28628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×20040234402 = 8032219896138867200, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12525067 + ... + 12525226.

Almost surely, 22004023440 is an apocalyptic number.

2004023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004023440 is an abundant number, since it is smaller than the sum of its proper divisors (2655331244).

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

2004023440 is a wasteful number, since it uses less digits than its factorization.

2004023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25050306 (or 25050300 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2004023440 is about 44766.3203759255. The cubic root of 2004023440 is about 1260.7653534384.

Adding to 2004023440 its reverse (443204002), we get a palindrome (2447227442).

The spelling of 2004023440 in words is "two billion, four million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25050293 50100586 100201172 125251465 200402344 250502930 400804688 501005860 1002011720 2004023440