Search a number
-
+
12164856 = 2331125971
BaseRepresentation
bin101110011001…
…111011111000
3211220001001020
4232121323320
511103233411
61112422440
7205254024
oct56317370
924801036
1012164856
116959700
1240a7a20
13269c052
141889384
151104606
hexb99ef8

12164856 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3572800.

The previous prime is 12164851. The next prime is 12164857. The reversal of 12164856 is 65846121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171301 + ... + 171371.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 212164856 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 12164856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12164856 is an abundant number, since it is smaller than the sum of its proper divisors (22308744).

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

12164856 is a wasteful number, since it uses less digits than its factorization.

12164856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 12164856 is about 3487.8153620856. The cubic root of 12164856 is about 229.9864894395.

The spelling of 12164856 in words is "twelve million, one hundred sixty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 71 88 118 121 132 142 177 213 236 242 264 284 354 363 426 472 484 568 649 708 726 781 852 968 1298 1416 1452 1562 1704 1947 2343 2596 2904 3124 3894 4189 4686 5192 6248 7139 7788 8378 8591 9372 12567 14278 15576 16756 17182 18744 21417 25134 25773 28556 33512 34364 42834 46079 50268 51546 57112 68728 85668 92158 100536 103092 138237 171336 184316 206184 276474 368632 506869 552948 1013738 1105896 1520607 2027476 3041214 4054952 6082428 12164856