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36132216 = 23313910831
BaseRepresentation
bin1000100111010…
…1010101111000
32111222201002020
42021311111320
533222212331
63330234440
7616055511
oct211652570
974881066
1036132216
111943973a
1210125a20
137641213
144b27a08
15328ac96
hex2275578

36132216 has 32 divisors (see below), whose sum is σ = 90988800. Its totient is φ = 11956320.

The previous prime is 36132211. The next prime is 36132221. The reversal of 36132216 is 61223163.

It is a happy number.

36132216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36132211) and next prime (36132221).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36132211) 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 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (2843400).

Almost surely, 236132216 is an apocalyptic number.

It is an amenable number.

36132216 is an abundant number, since it is smaller than the sum of its proper divisors (54856584).

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

36132216 is a wasteful number, since it uses less digits than its factorization.

36132216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10975 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 36132216 is about 6011.0079021741. The cubic root of 36132216 is about 330.5964603017.

Adding to 36132216 its reverse (61223163), we get a palindrome (97355379).

The spelling of 36132216 in words is "thirty-six million, one hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 10831 21662 32493 43324 64986 86648 129972 259944 1505509 3011018 4516527 6022036 9033054 12044072 18066108 36132216