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36316 = 2271297
BaseRepresentation
bin1000110111011100
31211211001
420313130
52130231
6440044
7210610
oct106734
954731
1036316
1125315
1219024
13136b7
14d340
15ab61
hex8ddc

36316 has 12 divisors (see below), whose sum is σ = 72688. Its totient is φ = 15552.

The previous prime is 36313. The next prime is 36319. The reversal of 36316 is 61363.

Adding to 36316 its reverse (61363), we get a palindrome (97679).

36316 = T48 + T49 + ... + T68.

36316 = 692 + 702 + ... + 752.

It is a happy number.

36316 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (36313) and next prime (36319).

36316 is an admirable number.

It is a pancake number, because a pancake can be divided into 36316 parts by 269 straight cuts.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 36293 and 36302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 676.

236316 is an apocalyptic number.

It is an amenable number.

36316 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36344).

36316 is a wasteful number, since it uses less digits than its factorization.

36316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 36316 is about 190.5675733172. The cubic root of 36316 is about 33.1156031255.

The spelling of 36316 in words is "thirty-six thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 1297 2594 5188 9079 18158 36316