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11480256 = 2632191049
BaseRepresentation
bin101011110010…
…110011000000
3210121020221200
4223302303000
510414332011
61050021200
7166403064
oct53626300
923536850
1011480256
116531317
123a17800
1324bc568
14174baa4
15101b856
hexaf2cc0

11480256 has 84 divisors (see below), whose sum is σ = 34671000. Its totient is φ = 3621888.

The previous prime is 11480251. The next prime is 11480291. The reversal of 11480256 is 65208411.

It is not an unprimeable number, because it can be changed into a prime (11480251) 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 11 ways as a sum of consecutive naturals, for example, 10420 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (412750).

Almost surely, 211480256 is an apocalyptic number.

11480256 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 11480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335500).

11480256 is an abundant number, since it is smaller than the sum of its proper divisors (23190744).

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

11480256 is a wasteful number, since it uses less digits than its factorization.

11480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11480256 is about 3388.2526470144. The cubic root of 11480256 is about 225.5886217288.

Adding to 11480256 its reverse (65208411), we get a palindrome (76688667).

The spelling of 11480256 in words is "eleven million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1049 1216 1368 1824 2098 2736 3147 3648 4196 5472 6294 8392 9441 10944 12588 16784 18882 19931 25176 33568 37764 39862 50352 59793 67136 75528 79724 100704 119586 151056 159448 179379 201408 239172 302112 318896 358758 478344 604224 637792 717516 956688 1275584 1435032 1913376 2870064 3826752 5740128 11480256