Search a number
-
+
36207216 = 243383813
BaseRepresentation
bin1000101000011…
…1101001110000
32112010111222000
42022013221300
533232112331
63332014000
7616520253
oct212075160
975114860
1036207216
1119490021
1210161300
1376693b6
144b4709a
1532a30e6
hex2287a70

36207216 has 40 divisors (see below), whose sum is σ = 103929360. Its totient is φ = 12068928.

The previous prime is 36207209. The next prime is 36207239. The reversal of 36207216 is 61270263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36207216.

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 7 ways as a sum of consecutive naturals, for example, 41475 + ... + 42338.

It is an arithmetic number, because the mean of its divisors is an integer number (2598234).

Almost surely, 236207216 is an apocalyptic number.

36207216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36207216 is an abundant number, since it is smaller than the sum of its proper divisors (67722144).

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

36207216 is a wasteful number, since it uses less digits than its factorization.

36207216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83830 (or 83818 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36207216 is about 6017.2432226062. The cubic root of 36207216 is about 330.8250430040.

Adding to 36207216 its reverse (61270263), we get a palindrome (97477479).

The spelling of 36207216 in words is "thirty-six million, two hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 83813 167626 251439 335252 502878 670504 754317 1005756 1341008 1508634 2011512 2262951 3017268 4023024 4525902 6034536 9051804 12069072 18103608 36207216