Search a number
-
+
12138126 = 23711134347
BaseRepresentation
bin101110010011…
…011010001110
3211211200101020
4232103122032
511101410001
61112055010
7205113060
oct56233216
924750336
1012138126
116940610
124094466
13268cb30
14187d730
1510eb736
hexb9368e

12138126 has 128 divisors (see below), whose sum is σ = 34062336. Its totient is φ = 2782080.

The previous prime is 12138107. The next prime is 12138127. The reversal of 12138126 is 62183121.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12138096 and 12138105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 258235 + ... + 258281.

It is an arithmetic number, because the mean of its divisors is an integer number (266112).

Almost surely, 212138126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168).

12138126 is an abundant number, since it is smaller than the sum of its proper divisors (21924210).

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

12138126 is a wasteful number, since it uses less digits than its factorization.

12138126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 576, while the sum is 24.

The square root of 12138126 is about 3483.9813432336. The cubic root of 12138126 is about 229.8179151175.

It can be divided in two parts, 1213 and 8126, that added together give a palindrome (9339).

The spelling of 12138126 in words is "twelve million, one hundred thirty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 43 47 66 77 78 86 91 94 129 141 143 154 182 231 258 273 282 286 301 329 429 462 473 517 546 559 602 611 658 858 903 946 987 1001 1034 1118 1222 1419 1551 1677 1806 1833 1974 2002 2021 2838 3003 3102 3311 3354 3619 3666 3913 4042 4277 6006 6063 6149 6622 6721 7238 7826 8554 9933 10857 11739 12126 12298 12831 13442 14147 18447 19866 20163 21714 22231 23478 25662 26273 28294 36894 40326 42441 43043 44462 47047 52546 66693 78819 84882 86086 94094 129129 133386 141141 155617 157638 183911 258258 282282 289003 311234 367822 466851 551733 578006 867009 933702 1103466 1734018 2023021 4046042 6069063 12138126