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36395101 = 6129781
BaseRepresentation
bin1000101011010…
…1100001011101
32112111001200201
42022311201131
533304120401
63340023501
7621232111
oct212654135
975431621
1036395101
11195a91a6
1210231b91
137703a82
144b95741
1532ddb01
hex22b585d

36395101 has 6 divisors (see below), whose sum is σ = 37005306. Its totient is φ = 35794800.

The previous prime is 36395083. The next prime is 36395111. The reversal of 36395101 is 10159363.

36395101 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 3 ways, for example, as 2160900 + 34234201 = 1470^2 + 5851^2 .

It is not a de Polignac number, because 36395101 - 25 = 36395069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36395101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36395111) 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 5 ways as a sum of consecutive naturals, for example, 1170 + ... + 8611.

It is an arithmetic number, because the mean of its divisors is an integer number (6167551).

Almost surely, 236395101 is an apocalyptic number.

36395101 is the 3816-th centered pentagonal number.

It is an amenable number.

36395101 is a deficient number, since it is larger than the sum of its proper divisors (610205).

36395101 is an frugal number, since it uses more digits than its factorization.

36395101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 36395101 is about 6032.8352372661. The cubic root of 36395101 is about 331.3962906230.

The spelling of 36395101 in words is "thirty-six million, three hundred ninety-five thousand, one hundred one".

Divisors: 1 61 3721 9781 596641 36395101