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2004066420 = 22351719103409
BaseRepresentation
bin111011101110011…
…1010000001110100
312011200000010022020
41313130322001310
513101020111140
6530510033140
7100443166146
oct16734720164
95150003266
102004066420
11939274844
1247b1a87b0
1325c26c225
14150236c96
15bae176d0
hex7773a074

2004066420 has 96 divisors (see below), whose sum is σ = 6254236800. Its totient is φ = 476504064.

The previous prime is 2004066359. The next prime is 2004066433. The reversal of 2004066420 is 246604002.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32325 + ... + 71084.

It is an arithmetic number, because the mean of its divisors is an integer number (65148300).

Almost surely, 22004066420 is an apocalyptic number.

2004066420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004066420 is an abundant number, since it is smaller than the sum of its proper divisors (4250170380).

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

2004066420 is a wasteful number, since it uses less digits than its factorization.

2004066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103457 (or 103455 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2004066420 is about 44766.8004217411. The cubic root of 2004066420 is about 1260.7743665246.

The spelling of 2004066420 in words is "two billion, four million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 19380 103409 206818 310227 413636 517045 620454 1034090 1240908 1551135 1757953 1964771 2068180 3102270 3515906 3929542 5273859 5894313 6204540 7031812 7859084 8789765 9823855 10547718 11788626 17579530 19647710 21095436 23577252 26369295 29471565 33401107 35159060 39295420 52738590 58943130 66802214 100203321 105477180 117886260 133604428 167005535 200406642 334011070 400813284 501016605 668022140 1002033210 2004066420