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14241132 = 2232735419
BaseRepresentation
bin110110010100…
…110101101100
3222210112011100
4312110311230
512121204012
61225123100
7232022223
oct66246554
928715140
1014241132
118047634
124929490
132c48109
141c69cba
1513b48dc
hexd94d6c

14241132 has 36 divisors (see below), whose sum is σ = 36498280. Its totient is φ = 4681152.

The previous prime is 14241119. The next prime is 14241133. The reversal of 14241132 is 23114241.

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (14241133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 5337.

Almost surely, 214241132 is an apocalyptic number.

14241132 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 14241132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249140).

14241132 is an abundant number, since it is smaller than the sum of its proper divisors (22257148).

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

14241132 is a wasteful number, since it uses less digits than its factorization.

14241132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5497 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14241132 is about 3773.7424395419. The cubic root of 14241132 is about 242.3900773640.

Adding to 14241132 its reverse (23114241), we get a palindrome (37355373).

It can be divided in two parts, 1424 and 1132, that added together give a triangular number (2556 = T71).

The spelling of 14241132 in words is "fourteen million, two hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5419 10838 16257 21676 32514 48771 65028 97542 195084 395587 791174 1186761 1582348 2373522 3560283 4747044 7120566 14241132