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14047020 = 22345132329
BaseRepresentation
bin110101100101…
…011100101100
3222102122220000
4311211130230
512044001040
61221024300
7230253261
oct65453454
928378800
1014047020
117a24809
124855090
132baa960
141c19268
151377130
hexd6572c

14047020 has 240 divisors, whose sum is σ = 51226560. Its totient is φ = 3193344.

The previous prime is 14047009. The next prime is 14047027. The reversal of 14047020 is 2074041.

It is a happy number.

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 = 14046984 and 14047002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14047027) 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 79 ways as a sum of consecutive naturals, for example, 484366 + ... + 484394.

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

Almost surely, 214047020 is an apocalyptic number.

14047020 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 14047020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

14047020 is an abundant number, since it is smaller than the sum of its proper divisors (37179540).

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

14047020 is a wasteful number, since it uses less digits than its factorization.

14047020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14047020 is about 3747.9354316744. The cubic root of 14047020 is about 241.2837460736.

The spelling of 14047020 in words is "fourteen million, forty-seven thousand, twenty".