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2004380200 = 235217535717
BaseRepresentation
bin111011101111000…
…0110101000101000
312011200121001201201
41313132012220220
513101110131300
6530520453544
7100445644024
oct16736065050
95150531651
102004380200
11939469569
1247b31a2b4
1325c34bcb4
141502b9384
15bae7a66a
hex77786a28

2004380200 has 48 divisors (see below), whose sum is σ = 4663657980. Its totient is φ = 801154560.

The previous prime is 2004380173. The next prime is 2004380219. The reversal of 2004380200 is 20834002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 271656324 + 1732723876 = 16482^2 + 41626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347742 + ... + 353458.

Almost surely, 22004380200 is an apocalyptic number.

2004380200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004380200 is an abundant number, since it is smaller than the sum of its proper divisors (2659277780).

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

2004380200 is a wasteful number, since it uses less digits than its factorization.

2004380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2004380200 is about 44770.3048906304. The cubic root of 2004380200 is about 1260.8401636012.

The spelling of 2004380200 in words is "two billion, four million, three hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1753 3506 5717 7012 8765 11434 14024 17530 22868 28585 35060 43825 45736 57170 70120 87650 114340 142925 175300 228680 285850 350600 571700 1143400 10021901 20043802 40087604 50109505 80175208 100219010 200438020 250547525 400876040 501095050 1002190100 2004380200