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36085220 = 22517211503
BaseRepresentation
bin1000100110100…
…1110111100100
32111220022121122
42021221313210
533214211340
63325233112
7615501503
oct211516744
974808548
1036085220
11194073a6
1210102798
137625a02
144b1483a
15327bdb5
hex2269de4

36085220 has 48 divisors (see below), whose sum is σ = 80777088. Its totient is φ = 13493760.

The previous prime is 36085219. The next prime is 36085243. The reversal of 36085220 is 2258063.

36085220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36085220.

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, 71489 + ... + 71991.

It is an arithmetic number, because the mean of its divisors is an integer number (1682856).

Almost surely, 236085220 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 36085220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40388544).

36085220 is an abundant number, since it is smaller than the sum of its proper divisors (44691868).

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

36085220 is a wasteful number, since it uses less digits than its factorization.

36085220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 36085220 is about 6007.0974688280. The cubic root of 36085220 is about 330.4530660876.

The spelling of 36085220 in words is "thirty-six million, eighty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 211 340 422 503 844 1006 1055 2012 2110 2515 3587 4220 5030 7174 8551 10060 14348 17102 17935 34204 35870 42755 71740 85510 106133 171020 212266 424532 530665 1061330 1804261 2122660 3608522 7217044 9021305 18042610 36085220