Search a number
-
+
11388168 = 2333114793
BaseRepresentation
bin101011011100…
…010100001000
3210102120122000
4223130110020
510403410133
61044031000
7165540441
oct53342410
923376560
1011388168
116479110
123992460
13248967c
1417262c8
15eee413
hexadc508

11388168 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 3450240.

The previous prime is 11388161. The next prime is 11388199. The reversal of 11388168 is 86188311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11388161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 211388168 is an apocalyptic number.

11388168 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 11388168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

11388168 is an abundant number, since it is smaller than the sum of its proper divisors (23128632).

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

11388168 is a wasteful number, since it uses less digits than its factorization.

11388168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4809 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11388168 is about 3374.6359803688. The cubic root of 11388168 is about 224.9838210589.

The spelling of 11388168 in words is "eleven million, three hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4793 9586 14379 19172 28758 38344 43137 52723 57516 86274 105446 115032 129411 158169 172548 210892 258822 316338 345096 421784 474507 517644 632676 949014 1035288 1265352 1423521 1898028 2847042 3796056 5694084 11388168