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36013180 = 2257614217
BaseRepresentation
bin1000100101100…
…0010001111100
32111202122210111
42021120101330
533204410210
63323515404
7615051460
oct211302174
974678714
1036013180
1119368265
1210088b64
1375cbc98
144ad64a0
15326588a
hex225847c

36013180 has 48 divisors (see below), whose sum is σ = 87869376. Its totient is φ = 12142080.

The previous prime is 36013141. The next prime is 36013181. The reversal of 36013180 is 8131063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36013181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432 + ... + 10648.

It is an arithmetic number, because the mean of its divisors is an integer number (1830612).

Almost surely, 236013180 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 36013180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43934688).

36013180 is an abundant number, since it is smaller than the sum of its proper divisors (51856196).

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

36013180 is a wasteful number, since it uses less digits than its factorization.

36013180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 36013180 is about 6001.0982328237. The cubic root of 36013180 is about 330.2330157147.

The spelling of 36013180 in words is "thirty-six million, thirteen thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4217 4270 8434 8540 16868 21085 29519 42170 59038 84340 118076 147595 257237 295190 514474 590380 1028948 1286185 1800659 2572370 3601318 5144740 7202636 9003295 18006590 36013180