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14008320 = 21432519
BaseRepresentation
bin110101011100…
…000000000000
3222100200210200
4311130000000
512041231240
61220125200
7230032404
oct65340000
928320720
1014008320
1179a8727
124836800
132b96161
141c09104
15136a930
hexd5c000

14008320 has 180 divisors, whose sum is σ = 51116520. Its totient is φ = 3538944.

The previous prime is 14008307. The next prime is 14008327. The reversal of 14008320 is 2380041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14008293 and 14008302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14008327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737271 + ... + 737289.

Almost surely, 214008320 is an apocalyptic number.

14008320 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 14008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25558260).

14008320 is an abundant number, since it is smaller than the sum of its proper divisors (37108200).

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

14008320 is an equidigital number, since it uses as much as digits as its factorization.

14008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14008320 is about 3742.7690284066. The cubic root of 14008320 is about 241.0619607334.

Adding to 14008320 its reverse (2380041), we get a palindrome (16388361).

The spelling of 14008320 in words is "fourteen million, eight thousand, three hundred twenty".