Search a number
-
+
12673668 = 2237312157
BaseRepresentation
bin110000010110…
…001010000100
3212211220000010
4300112022010
511221024133
61131350220
7212503320
oct60261204
925756003
1012673668
117176a07
1242b2370
132819817
14197c980
1511a5263
hexc16284

12673668 has 72 divisors (see below), whose sum is σ = 35144256. Its totient is φ = 3481920.

The previous prime is 12673663. The next prime is 12673669. The reversal of 12673668 is 86637621.

It is not an unprimeable number, because it can be changed into a prime (12673663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80646 + ... + 80802.

Almost surely, 212673668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12673668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572128).

12673668 is an abundant number, since it is smaller than the sum of its proper divisors (22470588).

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

12673668 is a wasteful number, since it uses less digits than its factorization.

12673668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 12673668 is about 3560.0095505490. The cubic root of 12673668 is about 233.1492961522.

The spelling of 12673668 in words is "twelve million, six hundred seventy-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 157 186 217 314 372 434 471 628 651 868 942 961 1099 1302 1884 1922 2198 2604 2883 3297 3844 4396 4867 5766 6594 6727 9734 11532 13188 13454 14601 19468 20181 26908 29202 34069 40362 58404 68138 80724 102207 136276 150877 204414 301754 408828 452631 603508 905262 1056139 1810524 2112278 3168417 4224556 6336834 12673668