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36002020 = 22510131777
BaseRepresentation
bin1000100101010…
…1100011100100
32111202002111011
42021111203210
533204031040
63323352004
7615004105
oct211254344
974662434
1036002020
111935a93a
1210082604
1375c6b92
144ad23ac
1532623ea
hex22558e4

36002020 has 24 divisors (see below), whose sum is σ = 75721464. Its totient is φ = 14378496.

The previous prime is 36002011. The next prime is 36002023. The reversal of 36002020 is 2020063.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 35928036 = 272^2 + 5994^2 .

It is a super-2 number, since 2×360020202 = 2592290888160800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36002023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19372 + ... + 21148.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 236002020 is an apocalyptic number.

It is an amenable number.

36002020 is an abundant number, since it is smaller than the sum of its proper divisors (39719444).

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

36002020 is a wasteful number, since it uses less digits than its factorization.

36002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 36002020 is about 6000.1683309721. The cubic root of 36002020 is about 330.1989006008.

Adding to 36002020 its reverse (2020063), we get a palindrome (38022083).

The spelling of 36002020 in words is "thirty-six million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 1013 1777 2026 3554 4052 5065 7108 8885 10130 17770 20260 35540 1800101 3600202 7200404 9000505 18001010 36002020