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14448132 = 2234192347
BaseRepresentation
bin110111000111…
…011000000100
31000012001010000
4313013120010
512144320012
61233401300
7233543556
oct67073004
930161100
1014448132
118179106
124a09230
132cbb3ba
141cc14d6
151405ddc
hexdc7604

14448132 has 60 divisors (see below), whose sum is σ = 39775120. Its totient is φ = 4560624.

The previous prime is 14448131. The next prime is 14448149. The reversal of 14448132 is 23184441.

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 = 14448096 and 14448105.

It is not an unprimeable number, because it can be changed into a prime (14448131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4983 + ... + 7329.

Almost surely, 214448132 is an apocalyptic number.

14448132 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 14448132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887560).

14448132 is an abundant number, since it is smaller than the sum of its proper divisors (25326988).

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

14448132 is a wasteful number, since it uses less digits than its factorization.

14448132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2371 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14448132 is about 3801.0698493977. The cubic root of 14448132 is about 243.5588418416.

The spelling of 14448132 in words is "fourteen million, four hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 2347 3078 4694 6156 7041 9388 14082 21123 28164 42246 44593 63369 84492 89186 126738 133779 178372 190107 253476 267558 380214 401337 535116 760428 802674 1204011 1605348 2408022 3612033 4816044 7224066 14448132