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36013230 = 23251123307
BaseRepresentation
bin1000100101100…
…0010010101110
32111202122212100
42021120102232
533204410410
63323515530
7615051561
oct211302256
974678770
1036013230
1119368300
1210088ba6
1375cc006
144ad64d8
1532658c0
hex22584ae

36013230 has 72 divisors (see below), whose sum is σ = 102951576. Its totient is φ = 8727840.

The previous prime is 36013223. The next prime is 36013253. The reversal of 36013230 is 3231063.

It is a happy number.

36013230 is a `hidden beast` number, since 3 + 601 + 32 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9237 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (1429883).

Almost surely, 236013230 is an apocalyptic number.

36013230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36013230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51475788).

36013230 is an abundant number, since it is smaller than the sum of its proper divisors (66938346).

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

36013230 is a wasteful number, since it uses less digits than its factorization.

36013230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36013230 is about 6001.1023987264. The cubic root of 36013230 is about 330.2331685443.

Adding to 36013230 its reverse (3231063), we get a palindrome (39244293).

The spelling of 36013230 in words is "thirty-six million, thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3307 3630 5445 6614 9921 10890 16535 19842 29763 33070 36377 49605 59526 72754 99210 109131 148815 181885 218262 297630 327393 363770 400147 545655 654786 800294 1091310 1200441 1636965 2000735 2400882 3273930 3601323 4001470 6002205 7202646 12004410 18006615 36013230