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12686940 = 22325710069
BaseRepresentation
bin110000011001…
…011001011100
3212212120012200
4300121121130
511221440230
61131531500
7212560110
oct60313134
925776180
1012686940
117185982
1242b9b90
132822886
141983740
1511a9160
hexc1965c

12686940 has 72 divisors (see below), whose sum is σ = 43985760. Its totient is φ = 2899584.

The previous prime is 12686939. The next prime is 12686951. The reversal of 12686940 is 4968621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12686895 and 12686904.

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 23 ways as a sum of consecutive naturals, for example, 3775 + ... + 6294.

Almost surely, 212686940 is an apocalyptic number.

12686940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12686940 is an abundant number, since it is smaller than the sum of its proper divisors (31298820).

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

12686940 is a wasteful number, since it uses less digits than its factorization.

12686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12686940 is about 3561.8731027368. The cubic root of 12686940 is about 233.2306532342.

The spelling of 12686940 in words is "twelve million, six hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10069 20138 30207 40276 50345 60414 70483 90621 100690 120828 140966 151035 181242 201380 211449 281932 302070 352415 362484 422898 453105 604140 634347 704830 845796 906210 1057245 1268694 1409660 1812420 2114490 2537388 3171735 4228980 6343470 12686940