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11113648 = 2471317449
BaseRepresentation
bin101010011001…
…010010110000
3202220122001121
4222121102300
510321114043
61034112024
7163315210
oct52312260
922818047
1011113648
116300937
12387b614
1323c1730
141694240
15e97ded
hexa994b0

11113648 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4128768.

The previous prime is 11113639. The next prime is 11113657. The reversal of 11113648 is 84631111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11113639) and next prime (11113657).

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, 24528 + ... + 24976.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 211113648 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 11113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11113648 is an abundant number, since it is smaller than the sum of its proper divisors (17009552).

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

11113648 is a wasteful number, since it uses less digits than its factorization.

11113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 11113648 is about 3333.7138449483. The cubic root of 11113648 is about 223.1612981718.

Adding to 11113648 its reverse (84631111), we get a palindrome (95744759).

The spelling of 11113648 in words is "eleven million, one hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 449 476 728 884 898 952 1456 1547 1768 1796 1904 3094 3143 3536 3592 5837 6188 6286 7184 7633 11674 12376 12572 15266 23348 24752 25144 30532 40859 46696 50288 53431 61064 81718 93392 99229 106862 122128 163436 198458 213724 326872 396916 427448 653744 694603 793832 854896 1389206 1587664 2778412 5556824 11113648