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36321216 = 2631011873
BaseRepresentation
bin1000101010001…
…1011111000000
32112100022100020
42022203133000
533244234331
63334253440
7620503521
oct212433700
975308306
1036321216
1119558738
12101b7280
1376a9259
144b76848
1532c6c96
hex22a37c0

36321216 has 56 divisors (see below), whose sum is σ = 97103184. Its totient is φ = 11980800.

The previous prime is 36321211. The next prime is 36321221. The reversal of 36321216 is 61212363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36321211) and next prime (36321221).

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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36321211) by changing a digit.

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, 18456 + ... + 20328.

Almost surely, 236321216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48551592).

36321216 is an abundant number, since it is smaller than the sum of its proper divisors (60781968).

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

36321216 is a wasteful number, since it uses less digits than its factorization.

36321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1979 counting only the distinct ones).

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

The square root of 36321216 is about 6026.7085544267. The cubic root of 36321216 is about 331.1718849387.

Adding to 36321216 its reverse (61212363), we get a palindrome (97533579).

The spelling of 36321216 in words is "thirty-six million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 1873 2424 3232 3746 4848 5619 6464 7492 9696 11238 14984 19392 22476 29968 44952 59936 89904 119872 179808 189173 359616 378346 567519 756692 1135038 1513384 2270076 3026768 4540152 6053536 9080304 12107072 18160608 36321216