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12664674 = 2351123103
BaseRepresentation
bin110000010011…
…111101100010
3212211102200000
4300103331202
511220232144
61131240430
7212435151
oct60237542
925742600
1012664674
117170180
1242a9116
1328156b9
141979598
1511a2769
hexc13f62

12664674 has 96 divisors (see below), whose sum is σ = 32707584. Its totient is φ = 3635280.

The previous prime is 12664669. The next prime is 12664681. The reversal of 12664674 is 47646621.

12664674 is a `hidden beast` number, since 1 + 2 + 6 + 646 + 7 + 4 = 666.

12664674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122907 + ... + 123009.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 212664674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12664674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353792).

12664674 is an abundant number, since it is smaller than the sum of its proper divisors (20042910).

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

12664674 is a wasteful number, since it uses less digits than its factorization.

12664674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 12664674 is about 3558.7461275005. The cubic root of 12664674 is about 233.0941308282.

The spelling of 12664674 in words is "twelve million, six hundred sixty-four thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 103 138 162 198 206 207 243 253 297 309 414 486 506 594 618 621 759 891 927 1133 1242 1518 1782 1854 1863 2266 2277 2369 2673 2781 3399 3726 4554 4738 5346 5562 5589 6798 6831 7107 8343 10197 11178 13662 14214 16686 20394 20493 21321 25029 26059 30591 40986 42642 50058 52118 61182 61479 63963 78177 91773 122958 127926 156354 183546 191889 234531 275319 383778 469062 550638 575667 703593 1151334 1407186 2110779 4221558 6332337 12664674