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12664860 = 22351321249
BaseRepresentation
bin110000010100…
…000000011100
3212211102220220
4300110000130
511220233420
61131241340
7212435535
oct60240034
925742826
1012664860
11717032a
1242a9250
132815800
14197968c
1511a2840
hexc1401c

12664860 has 72 divisors (see below), whose sum is σ = 38430000. Its totient is φ = 3115008.

The previous prime is 12664829. The next prime is 12664871. The reversal of 12664860 is 6846621.

12664860 = T205 + T206 + ... + T438.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9516 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (533750).

Almost surely, 212664860 is an apocalyptic number.

12664860 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 12664860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215000).

12664860 is an abundant number, since it is smaller than the sum of its proper divisors (25765140).

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

12664860 is a wasteful number, since it uses less digits than its factorization.

12664860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 12664860 is about 3558.7722602044. The cubic root of 12664860 is about 233.0952719366.

The spelling of 12664860 in words is "twelve million, six hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1249 1690 2028 2498 2535 3380 3747 4996 5070 6245 7494 10140 12490 14988 16237 18735 24980 32474 37470 48711 64948 74940 81185 97422 162370 194844 211081 243555 324740 422162 487110 633243 844324 974220 1055405 1266486 2110810 2532972 3166215 4221620 6332430 12664860