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12252384 = 253429163
BaseRepresentation
bin101110101111…
…010011100000
3212001111010000
4232233103200
511114034014
61114340000
7206100144
oct56572340
925044100
1012252384
116a09441
12412a600
1326ccb41
1418ad224
151120509
hexbaf4e0

12252384 has 120 divisors (see below), whose sum is σ = 37505160. Its totient is φ = 3919104.

The previous prime is 12252349. The next prime is 12252389. The reversal of 12252384 is 48325221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252389) 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 19 ways as a sum of consecutive naturals, for example, 75087 + ... + 75249.

It is an arithmetic number, because the mean of its divisors is an integer number (312543).

Almost surely, 212252384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752580).

12252384 is an abundant number, since it is smaller than the sum of its proper divisors (25252776).

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

12252384 is a wasteful number, since it uses less digits than its factorization.

12252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12252384 is about 3500.3405548603. The cubic root of 12252384 is about 230.5367677556.

The spelling of 12252384 in words is "twelve million, two hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 163 174 216 232 261 288 324 326 348 432 464 489 522 648 652 696 783 864 928 978 1044 1296 1304 1392 1467 1566 1956 2088 2349 2592 2608 2784 2934 3132 3912 4176 4401 4698 4727 5216 5868 6264 7824 8352 8802 9396 9454 11736 12528 13203 14181 15648 17604 18792 18908 23472 25056 26406 28362 35208 37584 37816 42543 46944 52812 56724 70416 75168 75632 85086 105624 113448 127629 140832 151264 170172 211248 226896 255258 340344 382887 422496 453792 510516 680688 765774 1021032 1361376 1531548 2042064 3063096 4084128 6126192 12252384