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12339132 = 223131923181
BaseRepresentation
bin101111000100…
…011110111100
3212012220002220
4233010132330
511124323012
61120245340
7206611101
oct57043674
925186086
1012339132
116a68633
124170850
132730480
1418d2aa8
15113b08c
hexbc47bc

12339132 has 96 divisors (see below), whose sum is σ = 34245120. Its totient is φ = 3421440.

The previous prime is 12339097. The next prime is 12339143. The reversal of 12339132 is 23193321.

Its product of digits (972) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68082 + ... + 68262.

It is an arithmetic number, because the mean of its divisors is an integer number (356720).

Almost surely, 212339132 is an apocalyptic number.

12339132 is a gapful number since it is divisible by the number (12) 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 12339132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122560).

12339132 is an abundant number, since it is smaller than the sum of its proper divisors (21905988).

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

12339132 is a wasteful number, since it uses less digits than its factorization.

12339132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 12339132 is about 3512.7100648929. The cubic root of 12339132 is about 231.0795625561.

The spelling of 12339132 in words is "twelve million, three hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 181 228 247 276 299 362 437 494 543 598 724 741 874 897 988 1086 1196 1311 1482 1748 1794 2172 2353 2622 2964 3439 3588 4163 4706 5244 5681 6878 7059 8326 9412 10317 11362 12489 13756 14118 16652 17043 20634 22724 24978 28236 34086 41268 44707 49956 54119 68172 79097 89414 108238 134121 158194 162357 178828 216476 237291 268242 316388 324714 474582 536484 649428 949164 1028261 2056522 3084783 4113044 6169566 12339132