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11228360 = 23511132151
BaseRepresentation
bin101010110101…
…010011001000
3210010110102012
4222311103020
510333301420
61040355052
7164303513
oct52652310
923113365
1011228360
11637a040
123915a88
132431a00
1416c3d7a
15ebbdc5
hexab54c8

11228360 has 96 divisors (see below), whose sum is σ = 30041280. Its totient is φ = 3744000.

The previous prime is 11228359. The next prime is 11228369. The reversal of 11228360 is 6382211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11228369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74285 + ... + 74435.

It is an arithmetic number, because the mean of its divisors is an integer number (312930).

Almost surely, 211228360 is an apocalyptic number.

11228360 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 11228360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020640).

11228360 is an abundant number, since it is smaller than the sum of its proper divisors (18812920).

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

11228360 is a wasteful number, since it uses less digits than its factorization.

11228360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11228360 is about 3350.8745127205. The cubic root of 11228360 is about 223.9264745933.

The spelling of 11228360 in words is "eleven million, two hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 151 169 220 260 286 302 338 440 520 572 604 676 715 755 845 1144 1208 1352 1430 1510 1661 1690 1859 1963 2860 3020 3322 3380 3718 3926 5720 6040 6644 6760 7436 7852 8305 9295 9815 13288 14872 15704 16610 18590 19630 21593 25519 33220 37180 39260 43186 51038 66440 74360 78520 86372 102076 107965 127595 172744 204152 215930 255190 280709 431860 510380 561418 863720 1020760 1122836 1403545 2245672 2807090 5614180 11228360