Search a number
-
+
11201424 = 2431329619
BaseRepresentation
bin101010101110…
…101110010000
3210002002110120
4222232232100
510331421144
61040030240
7164132133
oct52565620
923062416
1011201424
116360883
123902380
132422680
1416b821a
15eb3e19
hexaaeb90

11201424 has 80 divisors (see below), whose sum is σ = 32289600. Its totient is φ = 3322368.

The previous prime is 11201413. The next prime is 11201473. The reversal of 11201424 is 42410211.

11201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17787 + ... + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 211201424 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 11201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144800).

11201424 is an abundant number, since it is smaller than the sum of its proper divisors (21088176).

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

11201424 is a wasteful number, since it uses less digits than its factorization.

11201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11201424 is about 3346.8528500668. The cubic root of 11201424 is about 223.7472702350.

Adding to 11201424 its reverse (42410211), we get a palindrome (53611635).

The spelling of 11201424 in words is "eleven million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 619 624 696 754 1131 1238 1392 1508 1857 2262 2476 3016 3714 4524 4952 6032 7428 8047 9048 9904 14856 16094 17951 18096 24141 29712 32188 35902 48282 53853 64376 71804 96564 107706 128752 143608 193128 215412 233363 287216 386256 430824 466726 700089 861648 933452 1400178 1866904 2800356 3733808 5600712 11201424