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12287919 = 371573727
BaseRepresentation
bin101110110111…
…111110101111
3212010021212010
4232313332233
511121203134
61115212303
7206305560
oct56677657
925107763
1012287919
116a33106
124147093
132713077
1418bc167
15112ace9
hexbb7faf

12287919 has 16 divisors (see below), whose sum is σ = 18848768. Its totient is φ = 6975072.

The previous prime is 12287893. The next prime is 12287929. The reversal of 12287919 is 91978221.

12287919 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 12287919 - 25 = 12287887 is a prime.

It is a super-2 number, since 2×122879192 = 301985906701122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (1178048).

Almost surely, 212287919 is an apocalyptic number.

12287919 is a deficient number, since it is larger than the sum of its proper divisors (6560849).

12287919 is a wasteful number, since it uses less digits than its factorization.

12287919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894.

The product of its digits is 18144, while the sum is 39.

The square root of 12287919 is about 3505.4128144913. The cubic root of 12287919 is about 230.7594242072.

The spelling of 12287919 in words is "twelve million, two hundred eighty-seven thousand, nine hundred nineteen".

Divisors: 1 3 7 21 157 471 1099 3297 3727 11181 26089 78267 585139 1755417 4095973 12287919