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12835242 = 23272343103
BaseRepresentation
bin110000111101…
…100110101010
3220011002122100
4300331212222
511241211432
61135034230
7214045350
oct60754652
926132570
1012835242
117277342
12436b976
132875224
1419c17d0
1511d807c
hexc3d9aa

12835242 has 96 divisors (see below), whose sum is σ = 34265088. Its totient is φ = 3392928.

The previous prime is 12835223. The next prime is 12835259. The reversal of 12835242 is 24253821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124563 + ... + 124665.

It is an arithmetic number, because the mean of its divisors is an integer number (356928).

Almost surely, 212835242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12835242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132544).

12835242 is an abundant number, since it is smaller than the sum of its proper divisors (21429846).

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

12835242 is a wasteful number, since it uses less digits than its factorization.

12835242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12835242 is about 3582.6305977591. The cubic root of 12835242 is about 234.1359061486.

The spelling of 12835242 in words is "twelve million, eight hundred thirty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 43 46 63 69 86 103 126 129 138 161 206 207 258 301 309 322 387 414 483 602 618 721 774 903 927 966 989 1442 1449 1806 1854 1978 2163 2369 2709 2898 2967 4326 4429 4738 5418 5934 6489 6923 7107 8858 8901 12978 13287 13846 14214 16583 17802 20769 21321 26574 31003 33166 39861 41538 42642 49749 62006 62307 79722 93009 99498 101867 124614 149247 186018 203734 279027 298494 305601 558054 611202 713069 916803 1426138 1833606 2139207 4278414 6417621 12835242