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12827945 = 5132171947
BaseRepresentation
bin110000111011…
…110100101001
3220010201122002
4300323310221
511240443240
61134540345
7214015154
oct60736451
926121562
1012827945
117271909
1243676b5
132871b00
1419bcc9b
1511d5d15
hexc3bd29

12827945 has 48 divisors (see below), whose sum is σ = 18973440. Its totient is φ = 8266752.

The previous prime is 12827923. The next prime is 12827953. The reversal of 12827945 is 54972821.

It is not a de Polignac number, because 12827945 - 210 = 12826921 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12827899 and 12827908.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272912 + ... + 272958.

It is an arithmetic number, because the mean of its divisors is an integer number (395280).

Almost surely, 212827945 is an apocalyptic number.

It is an amenable number.

12827945 is a deficient number, since it is larger than the sum of its proper divisors (6145495).

12827945 is a wasteful number, since it uses less digits than its factorization.

12827945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 12827945 is about 3581.6120672122. The cubic root of 12827945 is about 234.0915279806.

The spelling of 12827945 in words is "twelve million, eight hundred twenty-seven thousand, nine hundred forty-five".

Divisors: 1 5 13 17 19 47 65 85 95 169 221 235 247 323 611 799 845 893 1105 1235 1615 2873 3055 3211 3995 4199 4465 7943 10387 11609 14365 15181 16055 20995 39715 51935 54587 58045 75905 135031 150917 197353 272935 675155 754585 986765 2565589 12827945