Search a number
-
+
1085668812 = 223317775657
BaseRepresentation
bin100000010110101…
…1111110111001100
32210122212200122000
41000231133313030
54210412400222
6255421352300
735622014124
oct10055376714
92718780560
101085668812
11507917058
12263708690
13143c038a7
14a428bc84
15654a49ac
hex40b5fdcc

1085668812 has 48 divisors (see below), whose sum is σ = 2816778720. Its totient is φ = 361622016.

The previous prime is 1085668781. The next prime is 1085668819. The reversal of 1085668812 is 2188665801.

1085668812 is a `hidden beast` number, since 1 + 0 + 8 + 566 + 8 + 81 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1085668819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189088 + ... + 194744.

It is an arithmetic number, because the mean of its divisors is an integer number (58682890).

Almost surely, 21085668812 is an apocalyptic number.

1085668812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085668812 is an abundant number, since it is smaller than the sum of its proper divisors (1731109908).

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

1085668812 is a wasteful number, since it uses less digits than its factorization.

1085668812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1085668812 is about 32949.4887972484. The cubic root of 1085668812 is about 1027.7775349178. Note that the first 3 decimals are identical.

The spelling of 1085668812 in words is "one billion, eighty-five million, six hundred sixty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1777 3554 5331 5657 7108 10662 11314 15993 16971 21324 22628 31986 33942 47979 50913 63972 67884 95958 101826 152739 191916 203652 305478 610956 10052489 20104978 30157467 40209956 60314934 90472401 120629868 180944802 271417203 361889604 542834406 1085668812