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4134204020 = 225319768743
BaseRepresentation
bin1111011001101010…
…1111001001110100
3101200010020022202102
43312122233021310
531431324012040
61522122201232
7204310103642
oct36632571164
911603208672
104134204020
111831717741
12974653218
1350b67c88b
142b30ca192
15192e34515
hexf66af274

4134204020 has 48 divisors (see below), whose sum is σ = 9054409728. Its totient is φ = 1583815680.

The previous prime is 4134203999. The next prime is 4134204031. The reversal of 4134204020 is 204024314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4134203983 and 4134204001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25769 + ... + 94511.

It is an arithmetic number, because the mean of its divisors is an integer number (188633536).

Almost surely, 24134204020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527204864).

4134204020 is an abundant number, since it is smaller than the sum of its proper divisors (4920205708).

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

4134204020 is a wasteful number, since it uses less digits than its factorization.

4134204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68880 (or 68878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134204020 is about 64297.7761668318. The cubic root of 4134204020 is about 1604.9590954984.

Adding to 4134204020 its reverse (204024314), we get a palindrome (4338228334).

The spelling of 4134204020 in words is "four billion, one hundred thirty-four million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 620 970 1940 3007 6014 12028 15035 30070 60140 68743 137486 274972 343715 687430 1374860 2131033 4262066 6668071 8524132 10655165 13336142 21310330 26672284 33340355 42620660 66680710 133361420 206710201 413420402 826840804 1033551005 2067102010 4134204020