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36821340 = 22325204563
BaseRepresentation
bin1000110001110…
…1100101011100
32120021201101100
42030131211130
533411240330
63353113100
7624655563
oct214354534
976251340
1036821340
111986a466
12103b8790
137822a9a
144c66bda
153375060
hex231d95c

36821340 has 36 divisors (see below), whose sum is σ = 111691944. Its totient is φ = 9818976.

The previous prime is 36821339. The next prime is 36821341. The reversal of 36821340 is 4312863.

It is a happy number.

36821340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36821339) and next prime (36821341).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×368213402 = 2711622158791200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36821341) 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 11 ways as a sum of consecutive naturals, for example, 102102 + ... + 102461.

It is an arithmetic number, because the mean of its divisors is an integer number (3102554).

Almost surely, 236821340 is an apocalyptic number.

36821340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36821340 is an abundant number, since it is smaller than the sum of its proper divisors (74870604).

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

36821340 is a wasteful number, since it uses less digits than its factorization.

36821340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204578 (or 204573 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36821340 is about 6068.0589977356. The cubic root of 36821340 is about 332.6849819613.

The spelling of 36821340 in words is "thirty-six million, eight hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 204563 409126 613689 818252 1022815 1227378 1841067 2045630 2454756 3068445 3682134 4091260 6136890 7364268 9205335 12273780 18410670 36821340