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12027432 = 2331741719
BaseRepresentation
bin101101111000…
…011000101000
3211122001112110
4231320120220
511034334212
61105442320
7204142254
oct55703050
924561473
1012027432
11687542a
1240403a0
132651631
141851264
1510c8a3c
hexb78628

12027432 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3676160.

The previous prime is 12027427. The next prime is 12027443. The reversal of 12027432 is 23472021.

It is a junction number, because it is equal to n+sod(n) for n = 12027399 and 12027408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16369 + ... + 17087.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212027432 is an apocalyptic number.

12027432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12027432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12027432 is an abundant number, since it is smaller than the sum of its proper divisors (20631768).

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

12027432 is a wasteful number, since it uses less digits than its factorization.

12027432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12027432 is about 3468.0588230305. The cubic root of 12027432 is about 229.1171701955.

Adding to 12027432 its reverse (23472021), we get a palindrome (35499453).

The spelling of 12027432 in words is "twelve million, twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 719 984 1394 1438 2091 2157 2788 2876 4182 4314 5576 5752 8364 8628 12223 16728 17256 24446 29479 36669 48892 58958 73338 88437 97784 117916 146676 176874 235832 293352 353748 501143 707496 1002286 1503429 2004572 3006858 4009144 6013716 12027432