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11324016 = 2433112383
BaseRepresentation
bin101011001100…
…101001110000
3210022022122000
4223030221300
510344332031
61042414000
7165152424
oct53145160
923268560
1011324016
1164349a0
123961300
132466402
14170ab84
15eda3e6
hexacca70

11324016 has 80 divisors (see below), whose sum is σ = 35473920. Its totient is φ = 3430080.

The previous prime is 11324011. The next prime is 11324017. The reversal of 11324016 is 61042311.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11324016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324011) 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 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (443424).

Almost surely, 211324016 is an apocalyptic number.

11324016 is a gapful number since it is divisible by the number (16) 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 11324016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17736960).

11324016 is an abundant number, since it is smaller than the sum of its proper divisors (24149904).

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

11324016 is a wasteful number, since it uses less digits than its factorization.

11324016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11324016 is about 3365.1175313798. The cubic root of 11324016 is about 224.5605645431.

Adding to 11324016 its reverse (61042311), we get a palindrome (72366327).

The spelling of 11324016 in words is "eleven million, three hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2383 4752 4766 7149 9532 14298 19064 21447 26213 28596 38128 42894 52426 57192 64341 78639 85788 104852 114384 128682 157278 171576 209704 235917 257364 314556 343152 419408 471834 514728 629112 707751 943668 1029456 1258224 1415502 1887336 2831004 3774672 5662008 11324016