Search a number
-
+
11324988 = 2233195519
BaseRepresentation
bin101011001100…
…111000111100
3210022100222000
4223030320330
510344344423
61042422300
7165155313
oct53147074
923270860
1011324988
1164356a4
123961990
13246699c
14170b27a
15eda843
hexacce3c

11324988 has 48 divisors (see below), whose sum is σ = 30912000. Its totient is φ = 3575664.

The previous prime is 11324981. The next prime is 11325011. The reversal of 11324988 is 88942311.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (644000).

Almost surely, 211324988 is an apocalyptic number.

11324988 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 11324988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456000).

11324988 is an abundant number, since it is smaller than the sum of its proper divisors (19587012).

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

11324988 is a wasteful number, since it uses less digits than its factorization.

11324988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5543 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11324988 is about 3365.2619511711. The cubic root of 11324988 is about 224.5669894317.

The spelling of 11324988 in words is "eleven million, three hundred twenty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 5519 11038 16557 22076 33114 49671 66228 99342 104861 149013 198684 209722 298026 314583 419444 596052 629166 943749 1258332 1887498 2831247 3774996 5662494 11324988