Search a number
-
+
12386528 = 257112457
BaseRepresentation
bin101111010000…
…000011100000
3212022022010022
4233100003200
511132332103
61121253012
7210166220
oct57200340
925268108
1012386528
116aa0200
124194168
132748c0b
141906080
15114a138
hexbd00e0

12386528 has 72 divisors (see below), whose sum is σ = 30700656. Its totient is φ = 4815360.

The previous prime is 12386497. The next prime is 12386531. The reversal of 12386528 is 82568321.

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, 26876 + ... + 27332.

It is an arithmetic number, because the mean of its divisors is an integer number (426398).

Almost surely, 212386528 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 12386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350328).

12386528 is an abundant number, since it is smaller than the sum of its proper divisors (18314128).

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

12386528 is a wasteful number, since it uses less digits than its factorization.

12386528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 12386528 is about 3519.4499570245. The cubic root of 12386528 is about 231.3750521107.

The spelling of 12386528 in words is "twelve million, three hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 457 484 616 847 914 968 1232 1694 1828 1936 2464 3199 3388 3656 3872 5027 6398 6776 7312 10054 12796 13552 14624 20108 25592 27104 35189 40216 51184 55297 70378 80432 102368 110594 140756 160864 221188 281512 387079 442376 563024 774158 884752 1126048 1548316 1769504 3096632 6193264 12386528