Search a number
-
+
11105325 = 3252711641
BaseRepresentation
bin101010010111…
…010000101101
3202220012122100
4222113100231
510320332300
61034005313
7163252020
oct52272055
922805570
1011105325
1162a5660
123876839
1323ba9ca
1416911b7
15e95700
hexa9742d

11105325 has 72 divisors (see below), whose sum is σ = 24837696. Its totient is φ = 4608000.

The previous prime is 11105321. The next prime is 11105351. The reversal of 11105325 is 52350111.

11105325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11105325 - 22 = 11105321 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11105298 and 11105307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17005 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (344968).

Almost surely, 211105325 is an apocalyptic number.

11105325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11105325 is an abundant number, since it is smaller than the sum of its proper divisors (13732371).

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

11105325 is a wasteful number, since it uses less digits than its factorization.

11105325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 11105325 is about 3332.4653036453. The cubic root of 11105325 is about 223.1055758342.

Adding to 11105325 its reverse (52350111), we get a palindrome (63455436).

The spelling of 11105325 in words is "eleven million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 641 693 825 1155 1575 1923 1925 2475 3205 3465 4487 5769 5775 7051 9615 13461 16025 17325 21153 22435 28845 35255 40383 48075 49357 63459 67305 105765 112175 144225 148071 176275 201915 246785 317295 336525 444213 528825 740355 1009575 1233925 1586475 2221065 3701775 11105325