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2004414940 = 225119110977
BaseRepresentation
bin111011101111000…
…1111000111011100
312011200122211101101
41313132033013130
513101112234230
6530521322444
7100446150223
oct16736170734
95150584341
102004414940
11939492680
1247b336424
1325c361a58
141502c7cba
15bae85aca
hex7778f1dc

2004414940 has 24 divisors (see below), whose sum is σ = 4591932912. Its totient is φ = 728878080.

The previous prime is 2004414911. The next prime is 2004414961. The reversal of 2004414940 is 494144002.

It is a junction number, because it is equal to n+sod(n) for n = 2004414899 and 2004414908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4555269 + ... + 4555708.

It is an arithmetic number, because the mean of its divisors is an integer number (191330538).

Almost surely, 22004414940 is an apocalyptic number.

2004414940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004414940 is an abundant number, since it is smaller than the sum of its proper divisors (2587517972).

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

2004414940 is a wasteful number, since it uses less digits than its factorization.

2004414940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110997 (or 9110995 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2004414940 is about 44770.6928693314. The cubic root of 2004414940 is about 1260.8474478703.

Adding to 2004414940 its reverse (494144002), we get a palindrome (2498558942).

The spelling of 2004414940 in words is "two billion, four million, four hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 9110977 18221954 36443908 45554885 91109770 100220747 182219540 200441494 400882988 501103735 1002207470 2004414940