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4130082 = 2331117409
BaseRepresentation
bin1111110000010100100010
321202211102000
433300110202
52024130312
6224304430
750051025
oct17602442
97684360
104130082
112370aa0
121472116
13b17b48
147971bc
15568adc
hex3f0522

4130082 has 64 divisors (see below), whose sum is σ = 10627200. Its totient is φ = 1175040.

The previous prime is 4130039. The next prime is 4130111. The reversal of 4130082 is 2800314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9894 + ... + 10302.

It is an arithmetic number, because the mean of its divisors is an integer number (166050).

Almost surely, 24130082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313600).

4130082 is an abundant number, since it is smaller than the sum of its proper divisors (6497118).

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

4130082 is a wasteful number, since it uses less digits than its factorization.

4130082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4130082 is about 2032.2603179711. The cubic root of 4130082 is about 160.4425508428.

Adding to 4130082 its reverse (2800314), we get a palindrome (6930396).

The spelling of 4130082 in words is "four million, one hundred thirty thousand, eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 409 459 561 594 818 918 1122 1227 1683 2454 3366 3681 4499 5049 6953 7362 8998 10098 11043 13497 13906 20859 22086 26994 40491 41718 62577 76483 80982 121473 125154 152966 187731 229449 242946 375462 458898 688347 1376694 2065041 4130082