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14134176 = 253471941
BaseRepresentation
bin110101111010…
…101110100000
3222121002110000
4311322232200
512104243201
61222540000
7231065340
oct65725640
928532400
1014134176
117a84241
124897600
132c0b524
141c3cd20
151392d86
hexd7aba0

14134176 has 240 divisors, whose sum is σ = 51226560. Its totient is φ = 3732480.

The previous prime is 14134147. The next prime is 14134177. The reversal of 14134176 is 67143141.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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.

Its product of digits (2016) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14134177) 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 39 ways as a sum of consecutive naturals, for example, 344716 + ... + 344756.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 214134176 is an apocalyptic number.

14134176 is a gapful number since it is divisible by the number (16) 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 14134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

14134176 is an abundant number, since it is smaller than the sum of its proper divisors (37092384).

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

14134176 is a wasteful number, since it uses less digits than its factorization.

14134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 14134176 is about 3759.5446532792. The cubic root of 14134176 is about 241.7817397807.

The spelling of 14134176 in words is "fourteen million, one hundred thirty-four thousand, one hundred seventy-six".