Search a number
-
+
12329184 = 253722621
BaseRepresentation
bin101111000010…
…000011100000
3212012101110110
4233002003200
511124013214
61120131320
7206540100
oct57020340
925171413
1012329184
116a6110a
124166b40
132728a9a
1418cd200
151138159
hexbc20e0

12329184 has 72 divisors (see below), whose sum is σ = 37662408. Its totient is φ = 3521280.

The previous prime is 12329159. The next prime is 12329197. The reversal of 12329184 is 48192321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3394 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (523089).

Almost surely, 212329184 is an apocalyptic number.

12329184 is a gapful number since it is divisible by the number (14) 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 12329184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831204).

12329184 is an abundant number, since it is smaller than the sum of its proper divisors (25333224).

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

12329184 is a wasteful number, since it uses less digits than its factorization.

12329184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2633 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12329184 is about 3511.2937786520. The cubic root of 12329184 is about 231.0174458817.

The spelling of 12329184 in words is "twelve million, three hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2621 4704 5242 7863 10484 15726 18347 20968 31452 36694 41936 55041 62904 73388 83872 110082 125808 128429 146776 220164 251616 256858 293552 385287 440328 513716 587104 770574 880656 1027432 1541148 1761312 2054864 3082296 4109728 6164592 12329184