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11082006 = 2321323643
BaseRepresentation
bin101010010001…
…100100010110
3202212000122200
4222101210112
510314111011
61033305330
7163124025
oct52214426
922760580
1011082006
11628a091
123865246
1323b0200
1416868bc
15e8d856
hexa91916

11082006 has 36 divisors (see below), whose sum is σ = 26007228. Its totient is φ = 3408912.

The previous prime is 11081969. The next prime is 11082007. The reversal of 11082006 is 60028011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11082006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1221 + ... + 4863.

It is an arithmetic number, because the mean of its divisors is an integer number (722423).

Almost surely, 211082006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11082006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003614).

11082006 is an abundant number, since it is smaller than the sum of its proper divisors (14925222).

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

11082006 is a wasteful number, since it uses less digits than its factorization.

11082006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11082006 is about 3328.9647039282. The cubic root of 11082006 is about 222.9493071176.

The spelling of 11082006 in words is "eleven million, eighty-two thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 3643 7286 10929 21858 32787 47359 65574 94718 142077 284154 426231 615667 852462 1231334 1847001 3694002 5541003 11082006