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12274128 = 243285237
BaseRepresentation
bin101110110100…
…100111010000
3212002120221100
4232310213100
511120233003
61115024400
7206220426
oct56644720
925076840
1012274128
116a23809
12413b100
1327099c9
1418b7116
151126ba3
hexbb49d0

12274128 has 30 divisors (see below), whose sum is σ = 34350914. Its totient is φ = 4091328.

The previous prime is 12274127. The next prime is 12274159. The reversal of 12274128 is 82147221.

12274128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 1065024 = 3348^2 + 1032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42475 + ... + 42762.

Almost surely, 212274128 is an apocalyptic number.

12274128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12274128 is an abundant number, since it is smaller than the sum of its proper divisors (22076786).

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

12274128 is a wasteful number, since it uses less digits than its factorization.

12274128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85251 (or 85242 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12274128 is about 3503.4451615517. The cubic root of 12274128 is about 230.6730631094.

The spelling of 12274128 in words is "twelve million, two hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85237 170474 255711 340948 511422 681896 767133 1022844 1363792 1534266 2045688 3068532 4091376 6137064 12274128