Search a number
-
+
11024208 = 2433132151
BaseRepresentation
bin101010000011…
…011101010000
3202202002101000
4222003131100
510310233313
61032142000
7162463356
oct52033520
922662330
1011024208
11624a718
123837900
13238cb00
14166d7d6
15e7b673
hexa83750

11024208 has 120 divisors (see below), whose sum is σ = 34491840. Its totient is φ = 3369600.

The previous prime is 11024207. The next prime is 11024227. The reversal of 11024208 is 80242011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024207) 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, 72933 + ... + 73083.

It is an arithmetic number, because the mean of its divisors is an integer number (287432).

Almost surely, 211024208 is an apocalyptic number.

11024208 is a gapful number since it is divisible by the number (18) 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 11024208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245920).

11024208 is an abundant number, since it is smaller than the sum of its proper divisors (23467632).

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

11024208 is a wasteful number, since it uses less digits than its factorization.

11024208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11024208 is about 3320.2722779917. The cubic root of 11024208 is about 222.5610353112.

Adding to 11024208 its reverse (80242011), we get a palindrome (91266219).

The spelling of 11024208 in words is "eleven million, twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 151 156 169 208 216 234 302 312 338 351 432 453 468 507 604 624 676 702 906 936 1014 1208 1352 1359 1404 1521 1812 1872 1963 2028 2416 2704 2718 2808 3042 3624 3926 4056 4077 4563 5436 5616 5889 6084 7248 7852 8112 8154 9126 10872 11778 12168 15704 16308 17667 18252 21744 23556 24336 25519 31408 32616 35334 36504 47112 51038 53001 65232 70668 73008 76557 94224 102076 106002 141336 153114 204152 212004 229671 282672 306228 408304 424008 459342 612456 689013 848016 918684 1224912 1378026 1837368 2756052 3674736 5512104 11024208