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2004204000 = 25353167017
BaseRepresentation
bin111011101110101…
…1011100111100000
312011200021010000210
41313131123213200
513101034012000
6530513014120
7100444311231
oct16735334740
95150233023
102004204000
11939359147
1247b254340
1325c2b9a36
14150271088
15bae43350
hex7775b9e0

2004204000 has 96 divisors (see below), whose sum is σ = 6565811616. Its totient is φ = 534451200.

The previous prime is 2004203989. The next prime is 2004204029. The reversal of 2004204000 is 4024002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71509 + ... + 95508.

It is an arithmetic number, because the mean of its divisors is an integer number (68393871).

Almost surely, 22004204000 is an apocalyptic number.

2004204000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004204000 is an abundant number, since it is smaller than the sum of its proper divisors (4561607616).

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

2004204000 is a wasteful number, since it uses less digits than its factorization.

2004204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167045 (or 167027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2004204000 is about 44768.3370251789. The cubic root of 2004204000 is about 1260.8032167607.

Adding to 2004204000 its reverse (4024002), we get a palindrome (2008228002).

The spelling of 2004204000 in words is "two billion, four million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 167017 334034 501051 668068 835085 1002102 1336136 1670170 2004204 2505255 2672272 3340340 4008408 4175425 5010510 5344544 6680680 8016816 8350850 10021020 12526275 13361360 16033632 16701700 20042040 20877125 25052550 26722720 33403400 40084080 41754250 50105100 62631375 66806800 80168160 83508500 100210200 125262750 133613600 167017000 200420400 250525500 334034000 400840800 501051000 668068000 1002102000 2004204000