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4130388 = 2232172397
BaseRepresentation
bin1111110000011001010100
321202211211100
433300121110
52024133023
6224310100
750051643
oct17603124
97684740
104130388
112371249
121472330
13b18022
1479735a
15568c43
hex3f0654

4130388 has 54 divisors (see below), whose sum is σ = 11118926. Its totient is φ = 1292544.

The previous prime is 4130369. The next prime is 4130389. The reversal of 4130388 is 8830314.

4130388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 2108304 = 1422^2 + 1452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130389) 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 17 ways as a sum of consecutive naturals, for example, 10206 + ... + 10602.

Almost surely, 24130388 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 4130388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559463).

4130388 is an abundant number, since it is smaller than the sum of its proper divisors (6988538).

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

4130388 is a wasteful number, since it uses less digits than its factorization.

4130388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4130388 is about 2032.3356022075. The cubic root of 4130388 is about 160.4465131699.

The spelling of 4130388 in words is "four million, one hundred thirty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 397 578 612 794 867 1156 1191 1588 1734 2382 2601 3468 3573 4764 5202 6749 7146 10404 13498 14292 20247 26996 40494 60741 80988 114733 121482 229466 242964 344199 458932 688398 1032597 1376796 2065194 4130388