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66867984 = 2433154787
BaseRepresentation
bin1111111100010…
…1001100010000
311122211020122000
43333011030100
5114104233414
610345114000
71441240251
oct377051420
9148736560
1066867984
11348219a7
121a488900
1310b13071
148c48b28
155d0cb09
hex3fc5310

66867984 has 40 divisors (see below), whose sum is σ = 191937120. Its totient is φ = 22289184.

The previous prime is 66867949. The next prime is 66867989. The reversal of 66867984 is 48976866.

66867984 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66867984.

It is not an unprimeable number, because it can be changed into a prime (66867989) 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 7 ways as a sum of consecutive naturals, for example, 76962 + ... + 77825.

It is an arithmetic number, because the mean of its divisors is an integer number (4798428).

Almost surely, 266867984 is an apocalyptic number.

It is an amenable number.

66867984 is an abundant number, since it is smaller than the sum of its proper divisors (125069136).

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

66867984 is a wasteful number, since it uses less digits than its factorization.

66867984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154804 (or 154792 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66867984 is about 8177.2846348895. The cubic root of 66867984 is about 405.8878737823.

The spelling of 66867984 in words is "sixty-six million, eight hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 154787 309574 464361 619148 928722 1238296 1393083 1857444 2476592 2786166 3714888 4179249 5572332 7429776 8358498 11144664 16716996 22289328 33433992 66867984