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21836340 = 22325121313
BaseRepresentation
bin101001101001…
…1001000110100
31112002101211100
41103103020310
521042230330
62100010100
7353414541
oct123231064
945071740
1021836340
1111364a69
127390930
1346a7216
142c85bc8
151db5060
hex14d3234

21836340 has 36 divisors (see below), whose sum is σ = 66237444. Its totient is φ = 5822976.

The previous prime is 21836323. The next prime is 21836413. The reversal of 21836340 is 4363812.

It is a happy number.

21836340 is a `hidden beast` number, since 21 + 8 + 3 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 9474084 = 3516^2 + 3078^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 60477 + ... + 60836.

It is an arithmetic number, because the mean of its divisors is an integer number (1839929).

Almost surely, 221836340 is an apocalyptic number.

21836340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21836340 is an abundant number, since it is smaller than the sum of its proper divisors (44401104).

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

21836340 is a wasteful number, since it uses less digits than its factorization.

21836340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121328 (or 121323 counting only the distinct ones).

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

The square root of 21836340 is about 4672.9369779615. The cubic root of 21836340 is about 279.5073821205.

The spelling of 21836340 in words is "twenty-one million, eight hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 121313 242626 363939 485252 606565 727878 1091817 1213130 1455756 1819695 2183634 2426260 3639390 4367268 5459085 7278780 10918170 21836340