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12134232 = 2333115107
BaseRepresentation
bin101110010010…
…011101011000
3211211111001000
4232102131120
511101243412
61112025000
7205065525
oct56223530
924744030
1012134232
1169386a0
124092160
13268b126
14187c14c
1510ea4dc
hexb92758

12134232 has 64 divisors (see below), whose sum is σ = 36777600. Its totient is φ = 3676320.

The previous prime is 12134203. The next prime is 12134233. The reversal of 12134232 is 23243121.

12134232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (574650).

Almost surely, 212134232 is an apocalyptic number.

12134232 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 12134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388800).

12134232 is an abundant number, since it is smaller than the sum of its proper divisors (24643368).

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

12134232 is a wasteful number, since it uses less digits than its factorization.

12134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5123 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12134232 is about 3483.4224550003. The cubic root of 12134232 is about 229.7933367305.

Adding to 12134232 its reverse (23243121), we get a palindrome (35377353).

Subtracting 12134232 from its reverse (23243121), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1213 and 4232, that added together give a palindrome (5445).

The spelling of 12134232 in words is "twelve million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5107 10214 15321 20428 30642 40856 45963 56177 61284 91926 112354 122568 137889 168531 183852 224708 275778 337062 367704 449416 505593 551556 674124 1011186 1103112 1348248 1516779 2022372 3033558 4044744 6067116 12134232