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666275120 = 245711310529
BaseRepresentation
bin100111101101101…
…000110100110000
31201102201021122022
4213231220310300
52331031300440
6150040331012
722340150030
oct4755506460
91642637568
10666275120
113121053a5
12167173a68
13a8061b44
14646b98c0
153d75ecb5
hex27b68d30

666275120 has 80 divisors (see below), whose sum is σ = 1786224960. Its totient is φ = 226394112.

The previous prime is 666275117. The next prime is 666275189. The reversal of 666275120 is 21572666.

666275120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 58016 + ... + 68544.

It is an arithmetic number, because the mean of its divisors is an integer number (22327812).

Almost surely, 2666275120 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 666275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893112480).

666275120 is an abundant number, since it is smaller than the sum of its proper divisors (1119949840).

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

666275120 is a wasteful number, since it uses less digits than its factorization.

666275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 666275120 is about 25812.3055924882. The cubic root of 666275120 is about 873.4094074840.

The spelling of 666275120 in words is "six hundred sixty-six million, two hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 791 904 1130 1582 1808 2260 3164 3955 4520 6328 7910 9040 10529 12656 15820 21058 31640 42116 52645 63280 73703 84232 105290 147406 168464 210580 294812 368515 421160 589624 737030 842320 1179248 1189777 1474060 2379554 2948120 4759108 5896240 5948885 8328439 9518216 11897770 16656878 19036432 23795540 33313756 41642195 47591080 66627512 83284390 95182160 133255024 166568780 333137560 666275120