Search a number
-
+
11057085 = 3251341461
BaseRepresentation
bin101010001011…
…011110111101
3202210202110200
4222023132331
510312311320
61032554113
7162661254
oct52133675
922722420
1011057085
116272396
123852939
1323a1a70
14167b79b
15e86290
hexa8b7bd

11057085 has 48 divisors (see below), whose sum is σ = 21189168. Its totient is φ = 5299200.

The previous prime is 11057083. The next prime is 11057099. The reversal of 11057085 is 58075011.

11057085 is a `hidden beast` number, since 1 + 10 + 570 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3944196 + 7112889 = 1986^2 + 2667^2 .

It is not a de Polignac number, because 11057085 - 21 = 11057083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23755 + ... + 24215.

It is an arithmetic number, because the mean of its divisors is an integer number (441441).

Almost surely, 211057085 is an apocalyptic number.

11057085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11057085 is a deficient number, since it is larger than the sum of its proper divisors (10132083).

11057085 is a wasteful number, since it uses less digits than its factorization.

11057085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 11057085 is about 3325.2195416243. The cubic root of 11057085 is about 222.7820603296.

The spelling of 11057085 in words is "eleven million, fifty-seven thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 195 205 369 461 533 585 615 1383 1599 1845 2305 2665 4149 4797 5993 6915 7995 17979 18901 20745 23985 29965 53937 56703 89895 94505 170109 245713 269685 283515 737139 850545 1228565 2211417 3685695 11057085