Search a number
-
+
12239136 = 2532713467
BaseRepresentation
bin101110101100…
…000100100000
3212000210221100
4232230010200
511113123021
61114154400
7206013420
oct56540440
925023840
1012239136
1169aa498
124122a00
1326c6ac0
1418a8480
15111b626
hexbac120

12239136 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3220992.

The previous prime is 12239093. The next prime is 12239147. The reversal of 12239136 is 63193221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25975 + ... + 26441.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 212239136 is an apocalyptic number.

12239136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12239136 is an abundant number, since it is smaller than the sum of its proper divisors (30689568).

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

12239136 is a wasteful number, since it uses less digits than its factorization.

12239136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12239136 is about 3498.4476557468. The cubic root of 12239136 is about 230.4536478083.

The spelling of 12239136 in words is "twelve million, two hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 467 468 504 546 624 672 728 819 934 936 1008 1092 1248 1401 1456 1638 1868 1872 2016 2184 2802 2912 3269 3276 3736 3744 4203 4368 5604 6071 6538 6552 7472 8406 8736 9807 11208 12142 13076 13104 14944 16812 18213 19614 22416 24284 26152 26208 29421 33624 36426 39228 42497 44832 48568 52304 54639 58842 67248 72852 78456 84994 97136 104608 109278 117684 127491 134496 145704 156912 169988 194272 218556 235368 254982 291408 313824 339976 382473 437112 470736 509964 582816 679952 764946 874224 941472 1019928 1359904 1529892 1748448 2039856 3059784 4079712 6119568 12239136