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11424468 = 22311235371
BaseRepresentation
bin101011100101…
…001011010100
3210111102102110
4223211023110
510411040333
61044511020
7166051326
oct53451324
923442373
1011424468
1164a3410
1239ab470
1324a0053
141735616
15100a063
hexae52d4

11424468 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 3203200.

The previous prime is 11424467. The next prime is 11424473. The reversal of 11424468 is 86442411.

11424468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160873 + ... + 160943.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 211424468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

11424468 is an abundant number, since it is smaller than the sum of its proper divisors (19928364).

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

11424468 is a wasteful number, since it uses less digits than its factorization.

11424468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 11424468 is about 3380.0100591566. The cubic root of 11424468 is about 225.2226142415. Note that the first 3 decimals are identical.

Adding to 11424468 its reverse (86442411), we get a palindrome (97866879).

The spelling of 11424468 in words is "eleven million, four hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 53 66 69 71 92 106 132 138 142 159 212 213 253 276 284 318 426 506 583 636 759 781 852 1012 1166 1219 1518 1562 1633 1749 2332 2343 2438 3036 3124 3266 3498 3657 3763 4686 4876 4899 6532 6996 7314 7526 9372 9798 11289 13409 14628 15052 17963 19596 22578 26818 35926 40227 41393 45156 53636 53889 71852 80454 82786 86549 107778 124179 160908 165572 173098 215556 248358 259647 346196 496716 519294 952039 1038588 1904078 2856117 3808156 5712234 11424468