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60036 = 2235003
BaseRepresentation
bin1110101010000100
310001100120
432222010
53410121
61141540
7340014
oct165204
9101316
1060036
1141119
122a8b0
1321432
1417c44
1512bc6
hexea84

60036 has 12 divisors (see below), whose sum is σ = 140112. Its totient is φ = 20008.

The previous prime is 60029. The next prime is 60037. The reversal of 60036 is 63006.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 59997 and 60024.

It is not an unprimeable number, because it can be changed into a prime (60037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2490 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (11676).

260036 is an apocalyptic number.

It is an amenable number.

60036 is an abundant number, since it is smaller than the sum of its proper divisors (80076).

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 (70056).

60036 is a wasteful number, since it uses less digits than its factorization.

60036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5008 counting only the distinct ones).

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

The square root of 60036 is about 245.0224479512. The cubic root of 60036 is about 39.1565045815.

It can be divided in two parts, 600 and 36, that added together give a palindrome (636).

The spelling of 60036 in words is "sixty thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 5003 10006 15009 20012 30018 60036