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36020 = 2251801
BaseRepresentation
bin1000110010110100
31211102002
420302310
52123040
6434432
7210005
oct106264
954362
1036020
1125076
1218a18
131351a
14d1ac
15aa15
hex8cb4

36020 has 12 divisors (see below), whose sum is σ = 75684. Its totient is φ = 14400.

The previous prime is 36017. The next prime is 36037. The reversal of 36020 is 2063.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 27556 = 92^2 + 166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35992 and 36010.

It is a congruent number.

It is an unprimeable number.

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, 881 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (6307).

236020 is an apocalyptic number.

It is an amenable number.

36020 is an abundant number, since it is smaller than the sum of its proper divisors (39664).

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 (37842).

36020 is a wasteful number, since it uses less digits than its factorization.

36020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 36020 is about 189.7893569197. The cubic root of 36020 is about 33.0253860370.

Adding to 36020 its reverse (2063), we get a palindrome (38083).

The spelling of 36020 in words is "thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 1801 3602 7204 9005 18010 36020