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36086940 = 22325200483
BaseRepresentation
bin1000100110101…
…0010010011100
32111220101222100
42021222102130
533214240230
63325245100
7615506511
oct211522234
974811870
1036086940
111940871a
1210103790
137626726
144b15308
15327c660
hex226a49c

36086940 has 36 divisors (see below), whose sum is σ = 109464264. Its totient is φ = 9623136.

The previous prime is 36086899. The next prime is 36086969. The reversal of 36086940 is 4968063.

36086940 is a `hidden beast` number, since 3 + 608 + 6 + 9 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36086895 and 36086904.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 100062 + ... + 100421.

It is an arithmetic number, because the mean of its divisors is an integer number (3040674).

Almost surely, 236086940 is an apocalyptic number.

36086940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36086940 is an abundant number, since it is smaller than the sum of its proper divisors (73377324).

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

36086940 is a wasteful number, since it uses less digits than its factorization.

36086940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200498 (or 200493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36086940 is about 6007.2406311051. The cubic root of 36086940 is about 330.4583163465.

The spelling of 36086940 in words is "thirty-six million, eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 200483 400966 601449 801932 1002415 1202898 1804347 2004830 2405796 3007245 3608694 4009660 6014490 7217388 9021735 12028980 18043470 36086940