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12860880 = 2435411307
BaseRepresentation
bin110001000011…
…110111010000
3220012101210220
4301003313100
511243022010
61135353040
7214213164
oct61036720
926171726
1012860880
11729462a
124382780
132883ab6
1419caca4
1511e0970
hexc43dd0

12860880 has 80 divisors (see below), whose sum is σ = 40872384. Its totient is φ = 3343360.

The previous prime is 12860873. The next prime is 12860893. The reversal of 12860880 is 8806821.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9187 + ... + 10493.

Almost surely, 212860880 is an apocalyptic number.

12860880 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 12860880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436192).

12860880 is an abundant number, since it is smaller than the sum of its proper divisors (28011504).

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

12860880 is a wasteful number, since it uses less digits than its factorization.

12860880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 12860880 is about 3586.2069098143. The cubic root of 12860880 is about 234.2916955500.

The spelling of 12860880 in words is "twelve million, eight hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1307 1640 1968 2460 2614 3280 3921 4920 5228 6535 7842 9840 10456 13070 15684 19605 20912 26140 31368 39210 52280 53587 62736 78420 104560 107174 156840 160761 214348 267935 313680 321522 428696 535870 643044 803805 857392 1071740 1286088 1607610 2143480 2572176 3215220 4286960 6430440 12860880