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12677427 = 3272171989
BaseRepresentation
bin110000010111…
…000100110011
3212212002011100
4300113010303
511221134202
61131415443
7212520300
oct60270463
925762140
1012677427
117179814
1242b4583
13281b449
1419800a7
1511a641c
hexc17133

12677427 has 72 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 6386688.

The previous prime is 12677417. The next prime is 12677429. The reversal of 12677427 is 72477621.

It is a happy number.

12677427 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12677427 - 24 = 12677411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12677391 and 12677400.

It is not an unprimeable number, because it can be changed into a prime (12677429) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 142399 + ... + 142487.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 212677427 is an apocalyptic number.

12677427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12677427 is a deficient number, since it is larger than the sum of its proper divisors (11330973).

12677427 is a wasteful number, since it uses less digits than its factorization.

12677427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 12677427 is about 3560.5374594294. The cubic root of 12677427 is about 233.1723445065.

The spelling of 12677427 in words is "twelve million, six hundred seventy-seven thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 89 119 133 147 153 171 267 323 357 399 441 623 801 833 931 969 1071 1197 1513 1691 1869 2261 2499 2793 2907 4361 4539 5073 5607 6783 7497 8379 10591 11837 13083 13617 15219 15827 20349 28747 31773 35511 39249 47481 74137 82859 86241 95319 106533 142443 201229 222411 248577 258723 603687 667233 745731 1408603 1811061 4225809 12677427