Search a number
-
+
104631426 = 235415989
BaseRepresentation
bin1100011110010…
…00110010000010
321021212211100000
412033020302002
5203241201201
614214340430
72410231614
oct617106202
9237784300
10104631426
1154075159
122b05a716
13188a58b3
14dc78db4
1592bbd86
hex63c8c82

104631426 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 33073920.

The previous prime is 104631361. The next prime is 104631431. The reversal of 104631426 is 624136401.

104631426 is a `hidden beast` number, since 1 + 0 + 4 + 631 + 4 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104631426.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1175590 + ... + 1175678.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2104631426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104631426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

104631426 is an abundant number, since it is smaller than the sum of its proper divisors (143034174).

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

104631426 is an equidigital number, since it uses as much as digits as its factorization.

104631426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104631426 is about 10228.9503860367. The cubic root of 104631426 is about 471.2167447399.

Adding to 104631426 its reverse (624136401), we get a palindrome (728767827).

The spelling of 104631426 in words is "one hundred four million, six hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 59 81 82 89 118 123 162 177 178 243 246 267 354 369 486 531 534 738 801 1062 1107 1593 1602 2214 2403 2419 3186 3321 3649 4779 4806 4838 5251 6642 7209 7257 7298 9558 9963 10502 10947 14337 14418 14514 15753 19926 21627 21771 21894 28674 31506 32841 43254 43542 47259 65313 65682 94518 98523 130626 141777 195939 197046 215291 283554 295569 391878 425331 430582 587817 591138 645873 850662 886707 1175634 1275993 1291746 1773414 1937619 2551986 3875238 5812857 11625714 17438571 34877142 52315713 104631426