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666134120 = 235178771117
BaseRepresentation
bin100111101101000…
…110011001101000
31201102110010020002
4213231012121220
52331012242440
6150033322132
722336021661
oct4755063150
91642403202
10666134120
11312019473
12167106348
13a8012902
1464680368
153d733115
hex27b46668

666134120 has 64 divisors (see below), whose sum is σ = 1590198480. Its totient is φ = 250269696.

The previous prime is 666134111. The next prime is 666134153. The reversal of 666134120 is 21431666.

It is a happy number.

666134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 318908164 + 347225956 = 17858^2 + 18634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595802 + ... + 596918.

Almost surely, 2666134120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795099240).

666134120 is an abundant number, since it is smaller than the sum of its proper divisors (924064360).

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

666134120 is a wasteful number, since it uses less digits than its factorization.

666134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 666134120 is about 25809.5741925356. The cubic root of 666134120 is about 873.3477915884.

Adding to 666134120 its reverse (21431666), we get a palindrome (687565786).

The spelling of 666134120 in words is "six hundred sixty-six million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 877 1117 1754 2234 3508 4385 4468 5585 7016 8770 8936 11170 14909 17540 18989 22340 29818 35080 37978 44680 59636 74545 75956 94945 119272 149090 151912 189890 298180 379780 596360 759560 979609 1959218 3918436 4898045 7836872 9796090 16653353 19592180 33306706 39184360 66613412 83266765 133226824 166533530 333067060 666134120