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21381640 = 2357210909
BaseRepresentation
bin101000110010…
…0001000001000
31111020022002121
41101210020020
520433203030
62042141024
7346512100
oct121441010
944208077
1021381640
1111084385
1271b1774
134578277
142ba8200
151d2547a
hex1464208

21381640 has 48 divisors (see below), whose sum is σ = 55968300. Its totient is φ = 7330176.

The previous prime is 21381617. The next prime is 21381653. The reversal of 21381640 is 4618312.

It can be written as a sum of positive squares in 2 ways, for example, as 20448484 + 933156 = 4522^2 + 966^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3495 + ... + 7414.

Almost surely, 221381640 is an apocalyptic number.

21381640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21381640 is an abundant number, since it is smaller than the sum of its proper divisors (34586660).

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

21381640 is a wasteful number, since it uses less digits than its factorization.

21381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 21381640 is about 4624.0285466247. The cubic root of 21381640 is about 277.5536892574.

Adding to 21381640 its reverse (4618312), we get a palindrome (25999952).

The spelling of 21381640 in words is "twenty-one million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 10909 21818 43636 54545 76363 87272 109090 152726 218180 305452 381815 436360 534541 610904 763630 1069082 1527260 2138164 2672705 3054520 4276328 5345410 10690820 21381640