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36060 = 2235601
BaseRepresentation
bin1000110011011100
31211110120
420303130
52123220
6434540
7210063
oct106334
954416
1036060
1125102
1218a50
131354b
14d1da
15aa40
hex8cdc

36060 has 24 divisors (see below), whose sum is σ = 101136. Its totient is φ = 9600.

The previous prime is 36037. The next prime is 36061. The reversal of 36060 is 6063.

36060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (4214).

236060 is an apocalyptic number.

36060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36060 is an abundant number, since it is smaller than the sum of its proper divisors (65076).

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 (50568).

36060 is a wasteful number, since it uses less digits than its factorization.

36060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

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

The square root of 36060 is about 189.8947076672. The cubic root of 36060 is about 33.0376063475.

The spelling of 36060 in words is "thirty-six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601 1202 1803 2404 3005 3606 6010 7212 9015 12020 18030 36060