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14080080 = 2435717229
BaseRepresentation
bin110101101101…
…100001010000
3222111100020110
4311231201100
512101030310
61221441320
7230451540
oct65554120
928440213
1014080080
117a47633
124870240
132bbca11
141c27320
151381d20
hexd6d850

14080080 has 240 divisors, whose sum is σ = 54817920. Its totient is φ = 2924544.

The previous prime is 14080069. The next prime is 14080093. The reversal of 14080080 is 8008041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 485506 + ... + 485534.

It is an arithmetic number, because the mean of its divisors is an integer number (228408).

Almost surely, 214080080 is an apocalyptic number.

14080080 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 14080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27408960).

14080080 is an abundant number, since it is smaller than the sum of its proper divisors (40737840).

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

14080080 is a wasteful number, since it uses less digits than its factorization.

14080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

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

The square root of 14080080 is about 3752.3432678794. The cubic root of 14080080 is about 241.4728868052.

The spelling of 14080080 in words is "fourteen million, eighty thousand, eighty".