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666442080 = 2535561281
BaseRepresentation
bin100111101110010…
…001100101100000
31201110000202200000
4213232101211200
52331102121310
6150044100000
722341443553
oct4756214540
91643022600
10666442080
11312209887
12167234600
13a80bcb35
146472069a
153d7944c0
hex27b91960

666442080 has 288 divisors, whose sum is σ = 2405658528. Its totient is φ = 174182400.

The previous prime is 666442067. The next prime is 666442151. The reversal of 666442080 is 80244666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371540 + ... + 2371820.

It is an arithmetic number, because the mean of its divisors is an integer number (8352981).

Almost surely, 2666442080 is an apocalyptic number.

666442080 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 666442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202829264).

666442080 is an abundant number, since it is smaller than the sum of its proper divisors (1739216448).

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

666442080 is a wasteful number, since it uses less digits than its factorization.

666442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 666442080 is about 25815.5395062741. The cubic root of 666442080 is about 873.4823564562.

The spelling of 666442080 in words is "six hundred sixty-six million, four hundred forty-two thousand, eighty".