Search a number
-
+
11317856 = 251123779
BaseRepresentation
bin101011001011…
…001001100000
3210022000011212
4223023021200
510344132411
61042325252
7165125444
oct53131140
923260155
1011317856
116430300
123959828
132463674
141708824
15ed868b
hexacb260

11317856 has 72 divisors (see below), whose sum is σ = 25472160. Its totient is φ = 4942080.

The previous prime is 11317853. The next prime is 11317877. The reversal of 11317856 is 65871311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11317853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143225 + ... + 143303.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 211317856 is an apocalyptic number.

11317856 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 11317856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080).

11317856 is an abundant number, since it is smaller than the sum of its proper divisors (14154304).

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

11317856 is a wasteful number, since it uses less digits than its factorization.

11317856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 11317856 is about 3364.2021342363. The cubic root of 11317856 is about 224.5198385916.

The spelling of 11317856 in words is "eleven million, three hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 79 88 121 148 158 176 242 296 316 352 407 484 592 632 814 869 968 1184 1264 1628 1738 1936 2528 2923 3256 3476 3872 4477 5846 6512 6952 8954 9559 11692 13024 13904 17908 19118 23384 27808 32153 35816 38236 46768 64306 71632 76472 93536 128612 143264 152944 257224 305888 353683 514448 707366 1028896 1414732 2829464 5658928 11317856