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11106656 = 2511139227
BaseRepresentation
bin101010010111…
…100101100000
3202220021110122
4222113211200
510320403111
61034015412
7163255631
oct52274540
922807418
1011106656
1162a6660
123877568
1323bb4b2
141691888
15e95cdb
hexa97960

11106656 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4990080.

The previous prime is 11106653. The next prime is 11106671. The reversal of 11106656 is 65660111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106653) 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 7 ways as a sum of consecutive naturals, for example, 48815 + ... + 49041.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 211106656 is an apocalyptic number.

11106656 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 11106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

11106656 is an abundant number, since it is smaller than the sum of its proper divisors (13024864).

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

11106656 is a wasteful number, since it uses less digits than its factorization.

11106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 11106656 is about 3332.6649996662. The cubic root of 11106656 is about 223.1144887254.

Adding to 11106656 its reverse (65660111), we get a palindrome (76766767).

The spelling of 11106656 in words is "eleven million, one hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 227 278 352 454 556 908 1112 1529 1816 2224 2497 3058 3632 4448 4994 6116 7264 9988 12232 19976 24464 31553 39952 48928 63106 79904 126212 252424 347083 504848 694166 1009696 1388332 2776664 5553328 11106656