Search a number
-
+
11066004 = 2233791297
BaseRepresentation
bin101010001101…
…101010010100
3202211012201000
4222031222110
510313103004
61033103300
7163026255
oct52155224
922735630
1011066004
116279064
123857b30
1323a5b41
141680b2c
15e88c39
hexa8da94

11066004 has 48 divisors (see below), whose sum is σ = 29075200. Its totient is φ = 3639168.

The previous prime is 11065991. The next prime is 11066021. The reversal of 11066004 is 40066011.

11066004 is a `hidden beast` number, since 1 + 1 + 0 + 660 + 0 + 4 = 666.

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

It is a congruent number.

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, 7884 + ... + 9180.

Almost surely, 211066004 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 11066004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537600).

11066004 is an abundant number, since it is smaller than the sum of its proper divisors (18009196).

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

11066004 is a wasteful number, since it uses less digits than its factorization.

11066004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11066004 is about 3326.5603857438. The cubic root of 11066004 is about 222.8419452865.

The spelling of 11066004 in words is "eleven million, sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1297 1422 2133 2594 2844 3891 4266 5188 7782 8532 11673 15564 23346 35019 46692 70038 102463 140076 204926 307389 409852 614778 922167 1229556 1844334 2766501 3688668 5533002 11066004