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14118912 = 21232383
BaseRepresentation
bin110101110111…
…000000000000
3222120022111200
4311313000000
512103301122
61222341200
7231003003
oct65670000
928508450
1014118912
117a73825
12488a800
132c045b2
141c3753a
15138d5ac
hexd77000

14118912 has 78 divisors (see below), whose sum is σ = 40889472. Its totient is φ = 4694016.

The previous prime is 14118901. The next prime is 14118913. The reversal of 14118912 is 21981141.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14118913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36673 + ... + 37055.

It is an arithmetic number, because the mean of its divisors is an integer number (524224).

Almost surely, 214118912 is an apocalyptic number.

14118912 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 14118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444736).

14118912 is an abundant number, since it is smaller than the sum of its proper divisors (26770560).

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

14118912 is an equidigital number, since it uses as much as digits as its factorization.

14118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 14118912 is about 3757.5140718299. The cubic root of 14118912 is about 241.6946721937.

The spelling of 14118912 in words is "fourteen million, one hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 512 576 766 768 1024 1149 1152 1532 1536 2048 2298 2304 3064 3072 3447 4096 4596 4608 6128 6144 6894 9192 9216 12256 12288 13788 18384 18432 24512 27576 36768 36864 49024 55152 73536 98048 110304 147072 196096 220608 294144 392192 441216 588288 784384 882432 1176576 1568768 1764864 2353152 3529728 4706304 7059456 14118912