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66458320 = 245830729
BaseRepresentation
bin1111110110000…
…1001011010000
311122001102200021
43331201023100
5114003131240
610332233224
71434613015
oct375411320
9148042607
1066458320
1134572135
121a30b814
13109cb766
148b7d70c
155c7b54a
hex3f612d0

66458320 has 20 divisors (see below), whose sum is σ = 154515780. Its totient is φ = 26583296.

The previous prime is 66458297. The next prime is 66458363. The reversal of 66458320 is 2385466.

It is a happy number.

66458320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15649936 + 50808384 = 3956^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 415285 + ... + 415444.

It is an arithmetic number, because the mean of its divisors is an integer number (7725789).

Almost surely, 266458320 is an apocalyptic number.

It is an amenable number.

66458320 is an abundant number, since it is smaller than the sum of its proper divisors (88057460).

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

66458320 is a wasteful number, since it uses less digits than its factorization.

66458320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830742 (or 830736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 66458320 is about 8152.1972498217. The cubic root of 66458320 is about 405.0572900716.

The spelling of 66458320 in words is "sixty-six million, four hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 830729 1661458 3322916 4153645 6645832 8307290 13291664 16614580 33229160 66458320