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20130020 = 2254389263
BaseRepresentation
bin100110011001…
…0100011100100
31101212201012022
41030302203210
520123130040
61555242312
7333050051
oct114624344
941781168
1020130020
11103a9a89
1268a9398
13422a671
142960028
151b796b5
hex13328e4

20130020 has 48 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 7746816.

The previous prime is 20130001. The next prime is 20130029. The reversal of 20130020 is 2003102.

It is not an unprimeable number, because it can be changed into a prime (20130029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76409 + ... + 76671.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 220130020 is an apocalyptic number.

20130020 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 20130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

20130020 is an abundant number, since it is smaller than the sum of its proper divisors (23778460).

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

20130020 is a wasteful number, since it uses less digits than its factorization.

20130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20130020 is about 4486.6490836704. The cubic root of 20130020 is about 272.0287058804.

Adding to 20130020 its reverse (2003102), we get a palindrome (22133122).

The spelling of 20130020 in words is "twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 215 263 356 430 445 526 860 890 1052 1315 1780 2630 3827 5260 7654 11309 15308 19135 22618 23407 38270 45236 46814 56545 76540 93628 113090 117035 226180 234070 468140 1006501 2013002 4026004 5032505 10065010 20130020