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12868180 = 22513431151
BaseRepresentation
bin110001000101…
…101001010100
3220012202211021
4301011221110
511243240210
61135450524
7214243363
oct61055124
926182737
1012868180
11729a066
124386a44
132887210
1419cd7da
1511e2bda
hexc45a54

12868180 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4636800.

The previous prime is 12868169. The next prime is 12868181. The reversal of 12868180 is 8186821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10605 + ... + 11755.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 212868180 is an apocalyptic number.

12868180 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 12868180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

12868180 is an abundant number, since it is smaller than the sum of its proper divisors (16936364).

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

12868180 is a wasteful number, since it uses less digits than its factorization.

12868180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 12868180 is about 3587.2245538856. The cubic root of 12868180 is about 234.3360161532.

The spelling of 12868180 in words is "twelve million, eight hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 1151 2236 2302 2795 4604 5590 5755 11180 11510 14963 23020 29926 49493 59852 74815 98986 149630 197972 247465 299260 494930 643409 989860 1286818 2573636 3217045 6434090 12868180