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36001020 = 22351154547
BaseRepresentation
bin1000100101010…
…1010011111100
32111202001010010
42021111103330
533204013040
63323343220
7615001146
oct211252374
974661103
1036001020
111935a110
1210081b10
1375c65a3
144ad1c96
153261e80
hex22554fc

36001020 has 48 divisors (see below), whose sum is σ = 109968768. Its totient is φ = 8727360.

The previous prime is 36000989. The next prime is 36001039. The reversal of 36001020 is 2010063.

36001020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 36000987 and 36001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26614 + ... + 27933.

It is an arithmetic number, because the mean of its divisors is an integer number (2291016).

Almost surely, 236001020 is an apocalyptic number.

36001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36001020 is an abundant number, since it is smaller than the sum of its proper divisors (73967748).

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

36001020 is a wasteful number, since it uses less digits than its factorization.

36001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54570 (or 54568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 36001020 is about 6000.0849993979. The cubic root of 36001020 is about 330.1958433469.

Adding to 36001020 its reverse (2010063), we get a palindrome (38011083).

The spelling of 36001020 in words is "thirty-six million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 54547 109094 163641 218188 272735 327282 545470 600017 654564 818205 1090940 1200034 1636410 1800051 2400068 3000085 3272820 3600102 6000170 7200204 9000255 12000340 18000510 36001020