Search a number
-
+
1085460 = 223579229
BaseRepresentation
bin100001001000000010100
32001010222020
410021000110
5234213320
635133140
712140415
oct4110024
92033866
101085460
11681582
124441b0
132c00ac
1420380c
15166940
hex109014

1085460 has 48 divisors (see below), whose sum is σ = 3091200. Its totient is φ = 284544.

The previous prime is 1085459. The next prime is 1085473. The reversal of 1085460 is 645801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626 + ... + 4854.

It is an arithmetic number, because the mean of its divisors is an integer number (64400).

21085460 is an apocalyptic number.

1085460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545600).

1085460 is an abundant number, since it is smaller than the sum of its proper divisors (2005740).

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

1085460 is a wasteful number, since it uses less digits than its factorization.

1085460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1085460 is about 1041.8541164674. The cubic root of 1085460 is about 102.7711638197.

The spelling of 1085460 in words is "one million, eighty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 229 237 316 395 458 474 687 790 916 948 1145 1185 1374 1580 2290 2370 2748 3435 4580 4740 6870 13740 18091 36182 54273 72364 90455 108546 180910 217092 271365 361820 542730 1085460