Search a number
-
+
12379068 = 2234132939
BaseRepresentation
bin101111001110…
…001110111100
3212021220220000
4233032032330
511132112233
61121154300
7210135402
oct57161674
925256800
1012379068
116a95639
12418b990
1327456c0
141903472
151147d13
hexbce3bc

12379068 has 60 divisors (see below), whose sum is σ = 34862520. Its totient is φ = 3807648.

The previous prime is 12379067. The next prime is 12379079. The reversal of 12379068 is 86097321.

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 (12379061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2743 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (581042).

Almost surely, 212379068 is an apocalyptic number.

12379068 is a gapful number since it is divisible by the number (18) 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 12379068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431260).

12379068 is an abundant number, since it is smaller than the sum of its proper divisors (22483452).

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

12379068 is a wasteful number, since it uses less digits than its factorization.

12379068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12379068 is about 3518.3899727006. The cubic root of 12379068 is about 231.3285929113.

The spelling of 12379068 in words is "twelve million, three hundred seventy-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2939 4212 5878 8817 11756 17634 26451 35268 38207 52902 76414 79353 105804 114621 152828 158706 229242 238059 317412 343863 458484 476118 687726 952236 1031589 1375452 2063178 3094767 4126356 6189534 12379068