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36067969 = 726171193
BaseRepresentation
bin1000100110010…
…1101010000001
32111212102221201
42021211222001
533213133334
63325021201
7615400300
oct211455201
974772851
1036067969
11193a5443
12100b4801
13761abc2
144b0c437
153276c14
hex2265a81

36067969 has 12 divisors (see below), whose sum is σ = 42059844. Its totient is φ = 30839424.

The previous prime is 36067961. The next prime is 36068027. The reversal of 36067969 is 96976063.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 28227969 = 2800^2 + 5313^2 .

It is not a de Polignac number, because 36067969 - 23 = 36067961 is a prime.

It is a super-3 number, since 3×360679693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36067961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29637 + ... + 30829.

It is an arithmetic number, because the mean of its divisors is an integer number (3504987).

Almost surely, 236067969 is an apocalyptic number.

It is an amenable number.

36067969 is a deficient number, since it is larger than the sum of its proper divisors (5991875).

36067969 is a wasteful number, since it uses less digits than its factorization.

36067969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 46.

The square root of 36067969 is about 6005.6614123675. The cubic root of 36067969 is about 330.4003985919.

The spelling of 36067969 in words is "thirty-six million, sixty-seven thousand, nine hundred sixty-nine".

Divisors: 1 7 49 617 1193 4319 8351 30233 58457 736081 5152567 36067969