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11285676 = 2233831259
BaseRepresentation
bin101011000011…
…010010101100
3210020101001000
4223003102230
510342120201
61041520300
7164632563
oct53032254
923211030
1011285676
116409106
123943090
132451b1c
1416dabda
15ecdd86
hexac34ac

11285676 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3713616.

The previous prime is 11285657. The next prime is 11285683. The reversal of 11285676 is 67658211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11285676.

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 15 ways as a sum of consecutive naturals, for example, 8335 + ... + 9593.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 211285676 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 11285676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11285676 is an abundant number, since it is smaller than the sum of its proper divisors (18349524).

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

11285676 is a wasteful number, since it uses less digits than its factorization.

11285676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11285676 is about 3359.4160206798. The cubic root of 11285676 is about 224.3068445731.

The spelling of 11285676 in words is "eleven million, two hundred eighty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1259 1494 2241 2518 2988 3777 4482 5036 7554 8964 11331 15108 22662 33993 45324 67986 104497 135972 208994 313491 417988 626982 940473 1253964 1880946 2821419 3761892 5642838 11285676