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21384405 = 345719397
BaseRepresentation
bin101000110010…
…0110011010101
31111020102220000
41101210303111
520433300110
62042201513
7346523130
oct121446325
944212800
1021384405
1111086469
1271b3299
1345795c3
142ba9217
151d261c0
hex1464cd5

21384405 has 80 divisors (see below), whose sum is σ = 46231680. Its totient is φ = 9237888.

The previous prime is 21384403. The next prime is 21384413. The reversal of 21384405 is 50448312.

21384405 is a `hidden beast` number, since 213 + 8 + 440 + 5 = 666.

It is not a de Polignac number, because 21384405 - 21 = 21384403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21384403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53667 + ... + 54063.

It is an arithmetic number, because the mean of its divisors is an integer number (577896).

Almost surely, 221384405 is an apocalyptic number.

It is an amenable number.

21384405 is an abundant number, since it is smaller than the sum of its proper divisors (24847275).

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

21384405 is a wasteful number, since it uses less digits than its factorization.

21384405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 21384405 is about 4624.3275186777. The cubic root of 21384405 is about 277.5656528373.

The spelling of 21384405 in words is "twenty-one million, three hundred eighty-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 285 315 397 399 405 513 567 665 855 945 1191 1197 1539 1985 1995 2565 2779 2835 3573 3591 5955 5985 7543 7695 8337 10719 10773 13895 17865 17955 22629 25011 32157 37715 41685 52801 53595 53865 67887 75033 113145 125055 158403 160785 203661 225099 264005 339435 375165 475209 610983 792015 1018305 1125495 1425627 2376045 3054915 4276881 7128135 21384405