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2004130300 = 2252237091229
BaseRepresentation
bin111011101110100…
…1001100111111100
312011200010100221011
41313131021213330
513101024132200
6530511245004
7100443553324
oct16735114774
95150110834
102004130300
11939308837
1247b219764
1325c292323
14150252284
15bae2b5ba
hex777499fc

2004130300 has 72 divisors (see below), whose sum is σ = 4548146400. Its totient is φ = 765093120.

The previous prime is 2004130267. The next prime is 2004130301. The reversal of 2004130300 is 30314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004130301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630086 + ... + 1631314.

It is an arithmetic number, because the mean of its divisors is an integer number (63168700).

Almost surely, 22004130300 is an apocalyptic number.

2004130300 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 2004130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274073200).

2004130300 is an abundant number, since it is smaller than the sum of its proper divisors (2544016100).

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

2004130300 is a wasteful number, since it uses less digits than its factorization.

2004130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2004130300 is about 44767.5138912136. The cubic root of 2004130300 is about 1260.7877621902.

Adding to 2004130300 its reverse (30314002), we get a palindrome (2034444302).

The spelling of 2004130300 in words is "two billion, four million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 709 1150 1229 1418 2300 2458 2836 3545 4916 6145 7090 12290 14180 16307 17725 24580 28267 30725 32614 35450 56534 61450 65228 70900 81535 113068 122900 141335 163070 282670 326140 407675 565340 706675 815350 871361 1413350 1630700 1742722 2826700 3485444 4356805 8713610 17427220 20041303 21784025 40082606 43568050 80165212 87136100 100206515 200413030 400826060 501032575 1002065150 2004130300