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21013040 = 2453137229
BaseRepresentation
bin101000000101…
…0001000110000
31110112120110202
41100022020300
520334404130
62030214332
7343415336
oct120121060
943476422
1021013040
1110952454
1270543a8
134479569
142b0db56
151ca1145
hex140a230

21013040 has 80 divisors (see below), whose sum is σ = 52020480. Its totient is φ = 7879680.

The previous prime is 21013021. The next prime is 21013043. The reversal of 21013040 is 4031012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21013043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91646 + ... + 91874.

It is an arithmetic number, because the mean of its divisors is an integer number (650256).

Almost surely, 221013040 is an apocalyptic number.

21013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010240).

21013040 is an abundant number, since it is smaller than the sum of its proper divisors (31007440).

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

21013040 is a wasteful number, since it uses less digits than its factorization.

21013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21013040 is about 4583.9982547990. The cubic root of 21013040 is about 275.9495111735.

Adding to 21013040 its reverse (4031012), we get a palindrome (25044052).

The spelling of 21013040 in words is "twenty-one million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 229 248 296 310 370 458 496 592 620 740 916 1145 1147 1240 1480 1832 2290 2294 2480 2960 3664 4580 4588 5735 7099 8473 9160 9176 11470 14198 16946 18320 18352 22940 28396 33892 35495 42365 45880 56792 67784 70990 84730 91760 113584 135568 141980 169460 262663 283960 338920 525326 567920 677840 1050652 1313315 2101304 2626630 4202608 5253260 10506520 21013040