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36363681 = 334331321
BaseRepresentation
bin1000101010110…
…1110110100001
32112102110121000
42022231312201
533302114211
63335222213
7621041364
oct212556641
975373530
1036363681
1119587632
1210217969
1376c2693
144b880db
1532d4656
hex22adda1

36363681 has 16 divisors (see below), whose sum is σ = 55126720. Its totient is φ = 23677920.

The previous prime is 36363673. The next prime is 36363683. The reversal of 36363681 is 18636363.

36363681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36363681 - 23 = 36363673 is a prime.

It is a super-2 number, since 2×363636812 = 2644634591739522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36363683) 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 15 ways as a sum of consecutive naturals, for example, 14500 + ... + 16821.

It is an arithmetic number, because the mean of its divisors is an integer number (3445420).

Almost surely, 236363681 is an apocalyptic number.

It is an amenable number.

36363681 is a deficient number, since it is larger than the sum of its proper divisors (18763039).

36363681 is a wasteful number, since it uses less digits than its factorization.

36363681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31373 (or 31367 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 36363681 is about 6030.2305926059. The cubic root of 36363681 is about 331.3008980291.

It can be divided in two parts, 36363 and 681, that multiplied together give a triangular number (24763203 = T7037).

The spelling of 36363681 in words is "thirty-six million, three hundred sixty-three thousand, six hundred eighty-one".

Divisors: 1 3 9 27 43 129 387 1161 31321 93963 281889 845667 1346803 4040409 12121227 36363681