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666756 = 223218521
BaseRepresentation
bin10100010110010000100
31020212121200
42202302010
5132314011
622142500
75444616
oct2426204
91225550
10666756
11415a42
12281a30
131a463c
14134db6
15d2856
hexa2c84

666756 has 18 divisors (see below), whose sum is σ = 1685502. Its totient is φ = 222240.

The previous prime is 666751. The next prime is 666769. The reversal of 666756 is 657666.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 900 = 816^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18521 = 666756 / (6 + 6 + 6 + 7 + 5 + 6).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 666756.

It is not an unprimeable number, because it can be changed into a prime (666751) by changing a digit.

666756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9225 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (93639).

2666756 is an apocalyptic number.

It is an amenable number.

666756 is an abundant number, since it is smaller than the sum of its proper divisors (1018746).

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

666756 is a wasteful number, since it uses less digits than its factorization.

666756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18531 (or 18526 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 666756 is about 816.5512843661. The cubic root of 666756 is about 87.3619482921.

The spelling of 666756 in words is "six hundred sixty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 18521 37042 55563 74084 111126 166689 222252 333378 666756