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BaseRepresentation
bin110101011100…
…000111100000
3222100201110110
4311130013200
512041240200
61220131320
7230033661
oct65340740
928321413
1014008800
1179a9023
124836b40
132b96440
141c09368
15136ab50
hexd5c1e0

14008800 has 144 divisors (see below), whose sum is σ = 49215600. Its totient is φ = 3440640.

The previous prime is 14008763. The next prime is 14008811. The reversal of 14008800 is 880041.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30976 + ... + 31424.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 214008800 is an apocalyptic number.

14008800 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 14008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607800).

14008800 is an abundant number, since it is smaller than the sum of its proper divisors (35206800).

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

14008800 is a wasteful number, since it uses less digits than its factorization.

14008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 14008800 is about 3742.8331515044. The cubic root of 14008800 is about 241.0647140595.

Adding to 14008800 its reverse (880041), we get a palindrome (14888841).

The spelling of 14008800 in words is "fourteen million, eight thousand, eight hundred".