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2004015020 = 225722763059
BaseRepresentation
bin111011101110010…
…1101011110101100
312011122220111210112
41313130231132230
513101011440040
6530504555152
7100442563250
oct16734553654
95148814715
102004015020
1193923a167
1247b182ab8
1325c251a07
14150222260
15bae07365
hex7772d7ac

2004015020 has 48 divisors (see below), whose sum is σ = 4830900480. Its totient is φ = 684053184.

The previous prime is 2004015019. The next prime is 2004015049. The reversal of 2004015020 is 205104002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2004014986 and 2004015004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251 + ... + 63309.

It is an arithmetic number, because the mean of its divisors is an integer number (100643760).

Almost surely, 22004015020 is an apocalyptic number.

2004015020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415450240).

2004015020 is an abundant number, since it is smaller than the sum of its proper divisors (2826885460).

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

2004015020 is a wasteful number, since it uses less digits than its factorization.

2004015020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63302 (or 63300 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2004015020 is about 44766.2263319123. The cubic root of 2004015020 is about 1260.7635877141.

Adding to 2004015020 its reverse (205104002), we get a palindrome (2209119022).

The spelling of 2004015020 in words is "two billion, four million, fifteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 3178 4540 6356 7945 15890 31780 63059 126118 252236 315295 441413 630590 882826 1261180 1765652 2207065 4414130 8828260 14314393 28628786 57257572 71571965 100200751 143143930 200401502 286287860 400803004 501003755 1002007510 2004015020