Search a number
-
+
12385464 = 23371353107
BaseRepresentation
bin101111001111…
…110010111000
3212022020122220
4233033302320
511132313324
61121244040
7210163140
oct57176270
925266586
1012385464
116a9a423
124193620
1327485a0
141905920
151149b79
hexbcfcb8

12385464 has 128 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3174912.

The previous prime is 12385463. The next prime is 12385481. The reversal of 12385464 is 46458321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115699 + ... + 115805.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 212385464 is an apocalyptic number.

12385464 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 12385464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12385464 is an abundant number, since it is smaller than the sum of its proper divisors (26805576).

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

12385464 is a wasteful number, since it uses less digits than its factorization.

12385464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 12385464 is about 3519.2987937940. The cubic root of 12385464 is about 231.3684268991.

The spelling of 12385464 in words is "twelve million, three hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 107 156 159 168 182 212 214 273 312 318 321 364 371 424 428 546 636 642 689 728 742 749 856 1092 1113 1272 1284 1378 1391 1484 1498 2067 2184 2226 2247 2568 2756 2782 2968 2996 4134 4173 4452 4494 4823 5512 5564 5671 5992 8268 8346 8904 8988 9646 9737 11128 11342 14469 16536 16692 17013 17976 19292 19474 22684 28938 29211 33384 34026 38584 38948 39697 45368 57876 58422 68052 73723 77896 79394 115752 116844 119091 136104 147446 158788 221169 233688 238182 294892 317576 442338 476364 516061 589784 884676 952728 1032122 1548183 1769352 2064244 3096366 4128488 6192732 12385464