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36661064 = 23114313
BaseRepresentation
bin1000101111011…
…0011101001000
32112222120112012
42023312131020
533341123224
63345435052
7623420366
oct213663510
975876465
1036661064
1119770000
121033ba88
137797b4b
144c24636
15334280e
hex22f6748

36661064 has 40 divisors (see below), whose sum is σ = 75854550. Its totient is φ = 16610880.

The previous prime is 36661021. The next prime is 36661067. The reversal of 36661064 is 46016663.

36661064 is digitally balanced in base 2, 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 only one way, i.e., 36602500 + 58564 = 6050^2 + 242^2 .

It is a super-2 number, since 2×366610642 = 2688067227224192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36661064.

It is not an unprimeable number, because it can be changed into a prime (36661067) 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 9 ways as a sum of consecutive naturals, for example, 116972 + ... + 117284.

Almost surely, 236661064 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 36661064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37927275).

36661064 is an abundant number, since it is smaller than the sum of its proper divisors (39193486).

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

36661064 is an equidigital number, since it uses as much as digits as its factorization.

36661064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 36661064 is about 6054.8380655473. The cubic root of 36661064 is about 332.2015759468.

The spelling of 36661064 in words is "thirty-six million, six hundred sixty-one thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 313 484 626 968 1252 1331 2504 2662 3443 5324 6886 10648 13772 14641 27544 29282 37873 58564 75746 117128 151492 302984 416603 833206 1666412 3332824 4582633 9165266 18330532 36661064