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36030420 = 2234523967
BaseRepresentation
bin1000100101110…
…0011111010100
32111210112110000
42021130133110
533210433140
63324131300
7615152646
oct211343724
974715400
1036030420
111937a208
1210096b30
137606a9a
144adc896
15326aa30
hex225c7d4

36030420 has 120 divisors (see below), whose sum is σ = 118065024. Its totient is φ = 9180864.

The previous prime is 36030419. The next prime is 36030427. The reversal of 36030420 is 2403063.

36030420 is a `hidden beast` number, since 360 + 304 + 2 + 0 = 666.

36030420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 36030393 and 36030402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36030427) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 36777 + ... + 37743.

Almost surely, 236030420 is an apocalyptic number.

36030420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59032512).

36030420 is an abundant number, since it is smaller than the sum of its proper divisors (82034604).

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

36030420 is a wasteful number, since it uses less digits than its factorization.

36030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36030420 is about 6002.5344647074. The cubic root of 36030420 is about 330.2857029897.

Adding to 36030420 its reverse (2403063), we get a palindrome (38433483).

The spelling of 36030420 in words is "thirty-six million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 967 1035 1242 1380 1620 1863 1934 2070 2484 2901 3105 3726 3868 4140 4835 5802 6210 7452 8703 9315 9670 11604 12420 14505 17406 18630 19340 22241 26109 29010 34812 37260 43515 44482 52218 58020 66723 78327 87030 88964 104436 111205 130545 133446 156654 174060 200169 222410 261090 266892 313308 333615 391635 400338 444820 522180 600507 667230 783270 800676 1000845 1201014 1334460 1566540 1801521 2001690 2402028 3002535 3603042 4003380 6005070 7206084 9007605 12010140 18015210 36030420