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14083680 = 2535133761
BaseRepresentation
bin110101101110…
…011001100000
3222111112011210
4311232121200
512101134210
61221510120
7230465202
oct65563140
928445153
1014083680
117a4a306
124872340
132bc1550
141c28772
151382e20
hexd6e660

14083680 has 192 divisors, whose sum is σ = 49871808. Its totient is φ = 3317760.

The previous prime is 14083673. The next prime is 14083709. The reversal of 14083680 is 8638041.

It is a happy number.

14083680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230850 + ... + 230910.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 214083680 is an apocalyptic number.

14083680 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 14083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

14083680 is an abundant number, since it is smaller than the sum of its proper divisors (35788128).

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

14083680 is a wasteful number, since it uses less digits than its factorization.

14083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14083680 is about 3752.8229374699. The cubic root of 14083680 is about 241.4934650101.

The spelling of 14083680 in words is "fourteen million, eighty-three thousand, six hundred eighty".