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2004013020 = 2235331100907
BaseRepresentation
bin111011101110010…
…1100111111011100
312011122220102001110
41313130230333130
513101011404040
6530504542020
7100442554362
oct16734547734
95148812043
102004013020
11939238709
1247b181910
1325c250b29
14150221632
15bae06980
hex7772cfdc

2004013020 has 48 divisors (see below), whose sum is σ = 5628244608. Its totient is φ = 532783680.

The previous prime is 2004013001. The next prime is 2004013027. The reversal of 2004013020 is 203104002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2004012987 and 2004013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004013027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30594 + ... + 70313.

It is an arithmetic number, because the mean of its divisors is an integer number (117255096).

Almost surely, 22004013020 is an apocalyptic number.

2004013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004013020 is an abundant number, since it is smaller than the sum of its proper divisors (3624231588).

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

2004013020 is a wasteful number, since it uses less digits than its factorization.

2004013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101250 (or 101248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004013020 is about 44766.2039936379. The cubic root of 2004013020 is about 1260.7631683014.

Adding to 2004013020 its reverse (203104002), we get a palindrome (2207117022).

The spelling of 2004013020 in words is "two billion, four million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 19860 100907 201814 302721 403628 504535 605442 1009070 1210884 1513605 2018140 3027210 6054420 33400217 66800434 100200651 133600868 167001085 200401302 334002170 400802604 501003255 668004340 1002006510 2004013020