Search a number
-
+
12868380 = 22325721459
BaseRepresentation
bin110001000101…
…101100011100
3220012210002200
4301011230130
511243242010
61135451500
7214244100
oct61055434
926183080
1012868380
11729a228
124386b90
132887335
1419cd900
1511e2cc0
hexc45b1c

12868380 has 108 divisors (see below), whose sum is σ = 45438120. Its totient is φ = 2939328.

The previous prime is 12868363. The next prime is 12868381. The reversal of 12868380 is 8386821.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (12868381) 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 35 ways as a sum of consecutive naturals, for example, 8091 + ... + 9549.

Almost surely, 212868380 is an apocalyptic number.

12868380 is a gapful number since it is divisible by the number (10) 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 12868380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

12868380 is an abundant number, since it is smaller than the sum of its proper divisors (32569740).

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

12868380 is a wasteful number, since it uses less digits than its factorization.

12868380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12868380 is about 3587.2524304821. The cubic root of 12868380 is about 234.3372301803.

The spelling of 12868380 in words is "twelve million, eight hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1459 1470 1764 2205 2918 2940 4377 4410 5836 7295 8754 8820 10213 13131 14590 17508 20426 21885 26262 29180 30639 40852 43770 51065 52524 61278 65655 71491 87540 91917 102130 122556 131310 142982 153195 183834 204260 214473 262620 285964 306390 357455 367668 428946 459585 612780 643419 714910 857892 919170 1072365 1286838 1429820 1838340 2144730 2573676 3217095 4289460 6434190 12868380