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666060240 = 243522912119
BaseRepresentation
bin100111101100110…
…100010111010000
31201102022100212210
4213230310113100
52331002411430
6150031552120
722335263406
oct4754642720
91642270783
10666060240
11311a78a0a
1216708b640
13a7cb80b1
1464661476
153d71b2b0
hex27b345d0

666060240 has 80 divisors (see below), whose sum is σ = 2073974400. Its totient is φ = 176825856.

The previous prime is 666060233. The next prime is 666060331. The reversal of 666060240 is 42060666.

666060240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 666060198 and 666060207.

It is a congruent number.

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, 48901 + ... + 61019.

It is an arithmetic number, because the mean of its divisors is an integer number (25924680).

Almost surely, 2666060240 is an apocalyptic number.

666060240 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 666060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036987200).

666060240 is an abundant number, since it is smaller than the sum of its proper divisors (1407914160).

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

666060240 is a wasteful number, since it uses less digits than its factorization.

666060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 666060240 is about 25808.1429010303. The cubic root of 666060240 is about 873.3155031355.

The spelling of 666060240 in words is "six hundred sixty-six million, sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 9160 10992 12119 13740 18320 24238 27480 36357 48476 54960 60595 72714 96952 121190 145428 181785 193904 242380 290856 363570 484760 581712 727140 969520 1454280 2775251 2908560 5550502 8325753 11101004 13876255 16651506 22202008 27752510 33303012 41628765 44404016 55505020 66606024 83257530 111010040 133212048 166515060 222020080 333030120 666060240