Search a number
-
+
1085673468 = 2231122632843
BaseRepresentation
bin100000010110110…
…0000111111111100
32210122212221000110
41000231200333330
54210413022333
6255421430020
735622033525
oct10055407774
92718787013
101085673468
1150791a600
1226370b310
13143c05a49
14a428d84c
15654a6063
hex40b60ffc

1085673468 has 72 divisors (see below), whose sum is σ = 2796038784. Its totient is φ = 327625760.

The previous prime is 1085673461. The next prime is 1085673473. The reversal of 1085673468 is 8643765801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085673461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380455 + ... + 383297.

It is an arithmetic number, because the mean of its divisors is an integer number (38833872).

Almost surely, 21085673468 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 1085673468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398019392).

1085673468 is an abundant number, since it is smaller than the sum of its proper divisors (1710365316).

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

1085673468 is a wasteful number, since it uses less digits than its factorization.

1085673468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1085673468 is about 32949.5594507726. The cubic root of 1085673468 is about 1027.7790041582.

The spelling of 1085673468 in words is "one billion, eighty-five million, six hundred seventy-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 263 363 484 526 726 789 1052 1452 1578 2843 2893 3156 5686 5786 8529 8679 11372 11572 17058 17358 31273 31823 34116 34716 62546 63646 93819 95469 125092 127292 187638 190938 344003 375276 381876 688006 747709 1032009 1376012 1495418 2064018 2243127 2990836 4128036 4486254 8224799 8972508 16449598 24674397 32899196 49348794 90472789 98697588 180945578 271418367 361891156 542836734 1085673468