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12288132 = 2233113779
BaseRepresentation
bin101110111000…
…000010000100
3212010022011000
4232320002010
511121210012
61115213300
7206306313
oct56700204
925108130
1012288132
116a3328a
124147230
1327131ac
1418bc27a
15112addc
hexbb8084

12288132 has 24 divisors (see below), whose sum is σ = 31858400. Its totient is φ = 4096008.

The previous prime is 12288119. The next prime is 12288137. The reversal of 12288132 is 23188221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12288096 and 12288105.

It is not an unprimeable number, because it can be changed into a prime (12288137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56782 + ... + 56997.

Almost surely, 212288132 is an apocalyptic number.

12288132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12288132 is an abundant number, since it is smaller than the sum of its proper divisors (19570268).

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

12288132 is a wasteful number, since it uses less digits than its factorization.

12288132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113792 (or 113784 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12288132 is about 3505.4431959454. The cubic root of 12288132 is about 230.7607575350.

The spelling of 12288132 in words is "twelve million, two hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113779 227558 341337 455116 682674 1024011 1365348 2048022 3072033 4096044 6144066 12288132