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12866364 = 223573161
BaseRepresentation
bin110001000101…
…001100111100
3220012200100000
4301011030330
511243210424
61135434300
7214235160
oct61051474
926180300
1012866364
117298765
124385990
132886444
1419ccca0
1511e23c9
hexc4533c

12866364 has 144 divisors (see below), whose sum is σ = 40441856. Its totient is φ = 3499200.

The previous prime is 12866353. The next prime is 12866369. The reversal of 12866364 is 46366821.

12866364 is a `hidden beast` number, since 12 + 8 + 6 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12866369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210894 + ... + 210954.

Almost surely, 212866364 is an apocalyptic number.

12866364 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 12866364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220928).

12866364 is an abundant number, since it is smaller than the sum of its proper divisors (27575492).

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

12866364 is a wasteful number, since it uses less digits than its factorization.

12866364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12866364 is about 3586.9714244750. The cubic root of 12866364 is about 234.3249922108.

The spelling of 12866364 in words is "twelve million, eight hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 61 62 63 81 84 93 108 122 124 126 162 183 186 189 217 243 244 252 279 324 366 372 378 427 434 486 549 558 567 651 732 756 837 854 868 972 1098 1116 1134 1281 1302 1647 1674 1701 1708 1891 1953 2196 2268 2511 2562 2604 3294 3348 3402 3782 3843 3906 4941 5022 5124 5673 5859 6588 6804 7533 7564 7686 7812 9882 10044 11346 11529 11718 13237 14823 15066 15372 17019 17577 19764 22692 23058 23436 26474 29646 30132 34038 34587 35154 39711 46116 51057 52731 52948 59292 68076 69174 70308 79422 102114 103761 105462 119133 138348 153171 158844 204228 207522 210924 238266 306342 357399 415044 459513 476532 612684 714798 919026 1072197 1429596 1838052 2144394 3216591 4288788 6433182 12866364