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12677104 = 24111719223
BaseRepresentation
bin110000010110…
…111111110000
3212212001201101
4300112333300
511221131404
61131414144
7212516326
oct60267760
925761641
1012677104
117179550
1242b4354
13281b25b
14197dd16
1511a62a4
hexc16ff0

12677104 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 5114880.

The previous prime is 12677101. The next prime is 12677111. The reversal of 12677104 is 40177621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56737 + ... + 56959.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212677104 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 12677104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12677104 is an abundant number, since it is smaller than the sum of its proper divisors (17320976).

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

12677104 is a wasteful number, since it uses less digits than its factorization.

12677104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 12677104 is about 3560.4921008198. The cubic root of 12677104 is about 233.1703642070.

The spelling of 12677104 in words is "twelve million, six hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 223 272 304 323 374 418 446 646 748 836 892 1292 1496 1672 1784 2453 2584 2992 3344 3553 3568 3791 4237 4906 5168 7106 7582 8474 9812 14212 15164 16948 19624 28424 30328 33896 39248 41701 46607 56848 60656 67792 72029 83402 93214 144058 166804 186428 288116 333608 372856 576232 667216 745712 792319 1152464 1584638 3169276 6338552 12677104