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666869760 = 21335567
BaseRepresentation
bin100111101111111…
…010000000000000
31201110211111100000
4213233322000000
52331204313020
6150101200000
722345204464
oct4757720000
91643744300
10666869760
11312481137
12167400000
13a820c6bb
14647d24a4
153d82b090
hex27bfa000

666869760 has 336 divisors, whose sum is σ = 2433072096. Its totient is φ = 175177728.

The previous prime is 666869747. The next prime is 666869767. The reversal of 666869760 is 67968666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 666869697 and 666869706.

It is not an unprimeable number, because it can be changed into a prime (666869767) 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 23 ways as a sum of consecutive naturals, for example, 9953247 + ... + 9953313.

It is an arithmetic number, because the mean of its divisors is an integer number (7241286).

Almost surely, 2666869760 is an apocalyptic number.

666869760 is a gapful number since it is divisible by the number (60) 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 666869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216536048).

666869760 is an abundant number, since it is smaller than the sum of its proper divisors (1766202336).

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

666869760 is an frugal number, since it uses more digits than its factorization.

666869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 666869760 is about 25823.8215607218. The cubic root of 666869760 is about 873.6691649140.

The spelling of 666869760 in words is "six hundred sixty-six million, eight hundred sixty-nine thousand, seven hundred sixty".