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12008581 = 132953601
BaseRepresentation
bin101101110011…
…110010000101
3211121002200021
4231303302011
511033233311
61105215141
7204033304
oct55636205
924532607
1012008581
116862252
1240314b1
132645b90
14184843b
1510c3171
hexb73c85

12008581 has 16 divisors (see below), whose sum is σ = 13653360. Its totient is φ = 10483200.

The previous prime is 12008569. The next prime is 12008621. The reversal of 12008581 is 18580021.

12008581 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 168100 + 11840481 = 410^2 + 3441^2 .

It is a de Polignac number, because none of the positive numbers 2k-12008581 is a prime.

It is a super-2 number, since 2×120085812 = 288412035267122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19681 + ... + 20281.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 212008581 is an apocalyptic number.

It is an amenable number.

12008581 is a deficient number, since it is larger than the sum of its proper divisors (1644779).

12008581 is a wasteful number, since it uses less digits than its factorization.

12008581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 12008581 is about 3465.3399544633. The cubic root of 12008581 is about 228.9974065800.

The spelling of 12008581 in words is "twelve million, eight thousand, five hundred eighty-one".

Divisors: 1 13 29 53 377 601 689 1537 7813 17429 19981 31853 226577 414089 923737 12008581