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36140820 = 22352326189
BaseRepresentation
bin1000100111011…
…1011100010100
32112000010212220
42021313130110
533223001240
63330342340
7616122552
oct211673424
975003786
1036140820
1119445151
121012a9b0
137645101
144b2abd2
15328d5d0
hex2277714

36140820 has 48 divisors (see below), whose sum is σ = 105598080. Its totient is φ = 9218176.

The previous prime is 36140809. The next prime is 36140821. The reversal of 36140820 is 2804163.

It is a happy number.

36140820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36140821) 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 15 ways as a sum of consecutive naturals, for example, 11715 + ... + 14474.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 236140820 is an apocalyptic number.

36140820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36140820 is an abundant number, since it is smaller than the sum of its proper divisors (69457260).

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

36140820 is a wasteful number, since it uses less digits than its factorization.

36140820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36140820 is about 6011.7235465380. The cubic root of 36140820 is about 330.6226993621.

Adding to 36140820 its reverse (2804163), we get a palindrome (38944983).

The spelling of 36140820 in words is "thirty-six million, one hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 26189 52378 78567 104756 130945 157134 261890 314268 392835 523780 602347 785670 1204694 1571340 1807041 2409388 3011735 3614082 6023470 7228164 9035205 12046940 18070410 36140820