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4130336020 = 225292245561
BaseRepresentation
bin1111011000101111…
…1110110100010100
3101122211221210212011
43312023332310110
531424331223040
61521503234004
7204232163656
oct36613766424
911584853764
104130336020
11182a515648
129732a8904
1350a927115
142b27a06d6
1519291d3ea
hexf62fed14

4130336020 has 36 divisors (see below), whose sum is σ = 8983149084. Its totient is φ = 1595157760.

The previous prime is 4130336009. The next prime is 4130336027. The reversal of 4130336020 is 206330314.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 4129090564 = 1116^2 + 64258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4130335982 and 4130336000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130336027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 105961 + ... + 139600.

It is an arithmetic number, because the mean of its divisors is an integer number (249531919).

Almost surely, 24130336020 is an apocalyptic number.

It is an amenable number.

4130336020 is an abundant number, since it is smaller than the sum of its proper divisors (4852813064).

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

4130336020 is a wasteful number, since it uses less digits than its factorization.

4130336020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245628 (or 245597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 4130336020 is about 64267.6903272554. The cubic root of 4130336020 is about 1604.4584010608.

Adding to 4130336020 its reverse (206330314), we get a palindrome (4336666334).

The spelling of 4130336020 in words is "four billion, one hundred thirty million, three hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 16820 245561 491122 982244 1227805 2455610 4911220 7121269 14242538 28485076 35606345 71212690 142425380 206516801 413033602 826067204 1032584005 2065168010 4130336020