Search a number
-
+
11113056 = 253247821
BaseRepresentation
bin101010011001…
…001001100000
3202220121020200
4222121021200
510321104211
61034105200
7163313403
oct52311140
922817220
1011113056
116300449
12387b200
1323c1396
141693d3a
15e97b56
hexa99260

11113056 has 72 divisors (see below), whose sum is σ = 32314464. Its totient is φ = 3621120.

The previous prime is 11113031. The next prime is 11113073. The reversal of 11113056 is 65031111.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13126 + ... + 13946.

It is an arithmetic number, because the mean of its divisors is an integer number (448812).

Almost surely, 211113056 is an apocalyptic number.

11113056 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 11113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157232).

11113056 is an abundant number, since it is smaller than the sum of its proper divisors (21201408).

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

11113056 is a wasteful number, since it uses less digits than its factorization.

11113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11113056 is about 3333.6250539015. The cubic root of 11113056 is about 223.1573356615.

Adding to 11113056 its reverse (65031111), we get a palindrome (76144167).

The spelling of 11113056 in words is "eleven million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 821 846 1128 1504 1642 1692 2256 2463 3284 3384 4512 4926 6568 6768 7389 9852 13136 13536 14778 19704 26272 29556 38587 39408 59112 77174 78816 115761 118224 154348 231522 236448 308696 347283 463044 617392 694566 926088 1234784 1389132 1852176 2778264 3704352 5556528 11113056