Search a number
-
+
666067328 = 2779199331
BaseRepresentation
bin100111101100110…
…110000110000000
31201102022201121022
4213230312012000
52331003123303
6150032045012
722335323153
oct4754660600
91642281538
10666067328
11311a83273
12167093768
13a7cbb3a4
1464663c9a
153d71d438
hex27b36180

666067328 has 64 divisors (see below), whose sum is σ = 1354560000. Its totient is φ = 326177280.

The previous prime is 666067321. The next prime is 666067379. The reversal of 666067328 is 823760666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666067321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2012123 + ... + 2012453.

It is an arithmetic number, because the mean of its divisors is an integer number (21165000).

Almost surely, 2666067328 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 666067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677280000).

666067328 is an abundant number, since it is smaller than the sum of its proper divisors (688492672).

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

666067328 is a wasteful number, since it uses less digits than its factorization.

666067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 666067328 is about 25808.2802216653. The cubic root of 666067328 is about 873.3186009726.

The spelling of 666067328 in words is "six hundred sixty-six million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 199 316 331 398 632 662 796 1264 1324 1592 2528 2648 3184 5056 5296 6368 10112 10592 12736 15721 21184 25472 26149 31442 42368 52298 62884 65869 104596 125768 131738 209192 251536 263476 418384 503072 526952 836768 1006144 1053904 1673536 2012288 2107808 3347072 4215616 5203651 8431232 10407302 20814604 41629208 83258416 166516832 333033664 666067328