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66213072 = 2433153271
BaseRepresentation
bin1111110010010…
…1010011010000
311121120222021000
43330211103100
5113422304242
610323102000
71432542012
oct374452320
9147528230
1066213072
1134414952
121a211900
1310943c43
148b181b2
155c2da4c
hex3f254d0

66213072 has 40 divisors (see below), whose sum is σ = 190057280. Its totient is φ = 22070880.

The previous prime is 66213029. The next prime is 66213097. The reversal of 66213072 is 27031266.

It is a happy number.

66213072 is a `hidden beast` number, since 6 + 621 + 30 + 7 + 2 = 666.

66213072 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 (27).

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 7 ways as a sum of consecutive naturals, for example, 76204 + ... + 77067.

It is an arithmetic number, because the mean of its divisors is an integer number (4751432).

Almost surely, 266213072 is an apocalyptic number.

It is an amenable number.

66213072 is an abundant number, since it is smaller than the sum of its proper divisors (123844208).

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

66213072 is a wasteful number, since it uses less digits than its factorization.

66213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153288 (or 153276 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66213072 is about 8137.1415128410. The cubic root of 66213072 is about 404.5584213202.

The spelling of 66213072 in words is "sixty-six million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 153271 306542 459813 613084 919626 1226168 1379439 1839252 2452336 2758878 3678504 4138317 5517756 7357008 8276634 11035512 16553268 22071024 33106536 66213072