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36312 = 2331789
BaseRepresentation
bin1000110111011000
31211210220
420313120
52130222
6440040
7210603
oct106730
954726
1036312
1125311
1219020
13136b3
14d33a
15ab5c
hex8dd8

36312 has 32 divisors (see below), whose sum is σ = 97200. Its totient is φ = 11264.

The previous prime is 36307. The next prime is 36313. The reversal of 36312 is 21363.

36312 is nontrivially palindromic in base 16.

36312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×363122 = 2637122688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36291 and 36300.

It is a congruent number.

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

36312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 452.

236312 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 36312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

36312 is an abundant number, since it is smaller than the sum of its proper divisors (60888).

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

36312 is a wasteful number, since it uses less digits than its factorization.

36312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 36312 is about 190.5570780632. The cubic root of 36312 is about 33.1143872493.

Adding to 36312 its reverse (21363), we get a palindrome (57675).

It can be divided in two parts, 363 and 12, that multiplied together give a square (4356 = 662).

The spelling of 36312 in words is "thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 534 712 1068 1513 2136 3026 4539 6052 9078 12104 18156 36312