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666771072 = 27311433671
BaseRepresentation
bin100111101111100…
…001111010000000
31201110122110221220
4213233201322000
52331143133242
6150055115040
722344313662
oct4757417200
91643573856
10666771072
11312413a80
12167372a80
13a81a67c6
14647a8532
153d80bbec
hex27be1e80

666771072 has 128 divisors (see below), whose sum is σ = 1977592320. Its totient is φ = 197299200.

The previous prime is 666771037. The next prime is 666771089. The reversal of 666771072 is 270177666.

666771072 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 (128).

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, 179797 + ... + 183467.

It is an arithmetic number, because the mean of its divisors is an integer number (15449940).

Almost surely, 2666771072 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 666771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988796160).

666771072 is an abundant number, since it is smaller than the sum of its proper divisors (1310821248).

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

666771072 is a wasteful number, since it uses less digits than its factorization.

666771072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 666771072 is about 25821.9106961510. The cubic root of 666771072 is about 873.6260655857.

The spelling of 666771072 in words is "six hundred sixty-six million, seven hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3671 3784 4128 4224 5504 5676 7342 7568 8256 11013 11352 14684 15136 16512 22026 22704 29368 30272 40381 44052 45408 58736 60544 80762 88104 90816 117472 121143 157853 161524 176208 181632 234944 242286 315706 323048 352416 469888 473559 484572 631412 646096 704832 947118 969144 1262824 1292192 1409664 1736383 1894236 1938288 2525648 2584384 3472766 3788472 3876576 5051296 5168768 5209149 6945532 7576944 7753152 10102592 10418298 13891064 15153888 15506304 20205184 20836596 27782128 30307776 41673192 55564256 60615552 83346384 111128512 166692768 222257024 333385536 666771072