Search a number
-
+
12868240 = 2457112089
BaseRepresentation
bin110001000101…
…101010010000
3220012202220111
4301011222100
511243240430
61135451104
7214243510
oct61055220
926182814
1012868240
11729a110
124386a94
132887258
1419cd840
1511e2c2a
hexc45a90

12868240 has 80 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 4008960.

The previous prime is 12868217. The next prime is 12868283. The reversal of 12868240 is 4286821.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5116 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 212868240 is an apocalyptic number.

12868240 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 12868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659520).

12868240 is an abundant number, since it is smaller than the sum of its proper divisors (24450800).

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

12868240 is a wasteful number, since it uses less digits than its factorization.

12868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 12868240 is about 3587.2329168873. The cubic root of 12868240 is about 234.3363803626.

The spelling of 12868240 in words is "twelve million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2089 3080 4178 6160 8356 10445 14623 16712 20890 22979 29246 33424 41780 45958 58492 73115 83560 91916 114895 116984 146230 160853 167120 183832 229790 233968 292460 321706 367664 459580 584920 643412 804265 919160 1169840 1286824 1608530 1838320 2573648 3217060 6434120 12868240