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36580820 = 2251829041
BaseRepresentation
bin1000101110001…
…0110111010100
32112211111110012
42023202313110
533331041240
63344015352
7622634423
oct213426724
975744405
1036580820
1119715791
1210301558
13776a473
144c032ba
153328b65
hex22e2dd4

36580820 has 12 divisors (see below), whose sum is σ = 76819764. Its totient is φ = 14632320.

The previous prime is 36580813. The next prime is 36580829. The reversal of 36580820 is 2808563.

36580820 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 2 ways, for example, as 16096144 + 20484676 = 4012^2 + 4526^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36580829) 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 3 ways as a sum of consecutive naturals, for example, 914501 + ... + 914540.

It is an arithmetic number, because the mean of its divisors is an integer number (6401647).

Almost surely, 236580820 is an apocalyptic number.

It is an amenable number.

36580820 is an abundant number, since it is smaller than the sum of its proper divisors (40238944).

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

36580820 is a wasteful number, since it uses less digits than its factorization.

36580820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829050 (or 1829048 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 36580820 is about 6048.2079990688. The cubic root of 36580820 is about 331.9590238295.

The spelling of 36580820 in words is "thirty-six million, five hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1829041 3658082 7316164 9145205 18290410 36580820