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14112000 = 28325372
BaseRepresentation
bin110101110101…
…010100000000
3222112222000200
4311311110000
512103041000
61222245200
7230643600
oct65652400
928488020
1014112000
117a69611
124886800
132c013c6
141c34c00
15138b500
hexd75500

14112000 has 324 divisors, whose sum is σ = 59069556. Its totient is φ = 3225600.

The previous prime is 14111987. The next prime is 14112011. The reversal of 14112000 is 21141.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 13660416 = 672^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2015997 + ... + 2016003.

Almost surely, 214112000 is an apocalyptic number.

14112000 is a gapful number since it is divisible by the number (10) 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 14112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29534778).

14112000 is an abundant number, since it is smaller than the sum of its proper divisors (44957556).

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

14112000 is an equidigital number, since it uses as much as digits as its factorization.

14112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14112000 is about 3756.5942021996. The cubic root of 14112000 is about 241.6552247192.

Adding to 14112000 its reverse (21141), we get a palindrome (14133141).

The spelling of 14112000 in words is "fourteen million, one hundred twelve thousand".