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11106864 = 2432137563
BaseRepresentation
bin101010010111…
…101000110000
3202220021202100
4222113220300
510320404424
61034020400
7163256346
oct52275060
922807670
1011106864
1162a682a
123877700
1323bb612
141691996
15e95dc9
hexa97a30

11106864 has 60 divisors (see below), whose sum is σ = 31366296. Its totient is φ = 3668736.

The previous prime is 11106853. The next prime is 11106881. The reversal of 11106864 is 46860111.

It is an unprimeable number.

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, 19447 + ... + 20009.

Almost surely, 211106864 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 11106864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683148).

11106864 is an abundant number, since it is smaller than the sum of its proper divisors (20259432).

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

11106864 is a wasteful number, since it uses less digits than its factorization.

11106864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11106864 is about 3332.6962057769. The cubic root of 11106864 is about 223.1158815095.

Adding to 11106864 its reverse (46860111), we get a palindrome (57966975).

The spelling of 11106864 in words is "eleven million, one hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 563 822 1096 1126 1233 1644 1689 2192 2252 2466 3288 3378 4504 4932 5067 6576 6756 9008 9864 10134 13512 19728 20268 27024 40536 77131 81072 154262 231393 308524 462786 617048 694179 925572 1234096 1388358 1851144 2776716 3702288 5553432 11106864