Search a number
-
+
1027314666 = 232722213671
BaseRepresentation
bin111101001110111…
…001001111101010
32122121001222210100
4331032321033222
54100443032131
6245534530230
734313013330
oct7516711752
92577058710
101027314666
1148798a794
12248066976
13134ab1b01
149a61bb50
15602c97e6
hex3d3b93ea

1027314666 has 48 divisors (see below), whose sum is σ = 2545665408. Its totient is φ = 293306400.

The previous prime is 1027314649. The next prime is 1027314671. The reversal of 1027314666 is 6664137201.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1027314666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278011 + ... + 281681.

It is an arithmetic number, because the mean of its divisors is an integer number (53034696).

Almost surely, 21027314666 is an apocalyptic number.

1027314666 is an abundant number, since it is smaller than the sum of its proper divisors (1518350742).

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

1027314666 is a wasteful number, since it uses less digits than its factorization.

1027314666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1027314666 is about 32051.7498118277. The cubic root of 1027314666 is about 1009.0232251878.

The spelling of 1027314666 in words is "one billion, twenty-seven million, three hundred fourteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2221 3671 4442 6663 7342 11013 13326 15547 19989 22026 25697 31094 33039 39978 46641 51394 66078 77091 93282 139923 154182 231273 279846 462546 8153291 16306582 24459873 48919746 57073037 73379619 114146074 146759238 171219111 342438222 513657333 1027314666