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21059712 = 2732101181
BaseRepresentation
bin101000001010…
…1100010000000
31110121221111100
41100111202000
520342402322
62031214400
7344001402
oct120254200
943557440
1021059712
1110984523
127077400
13449488b
142b22b72
151caedac
hex1415880

21059712 has 96 divisors (see below), whose sum is σ = 61539660. Its totient is φ = 6912000.

The previous prime is 21059711. The next prime is 21059729. The reversal of 21059712 is 21795012.

It can be written as a sum of positive squares in 2 ways, for example, as 21013056 + 46656 = 4584^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×210597122 = 887022939045888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21059711) 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 11 ways as a sum of consecutive naturals, for example, 116262 + ... + 116442.

Almost surely, 221059712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30769830).

21059712 is an abundant number, since it is smaller than the sum of its proper divisors (40479948).

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

21059712 is a wasteful number, since it uses less digits than its factorization.

21059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21059712 is about 4589.0861835446. The cubic root of 21059712 is about 276.1536636439.

The spelling of 21059712 in words is "twenty-one million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 181 192 202 288 303 362 384 404 543 576 606 724 808 909 1086 1152 1212 1448 1616 1629 1818 2172 2424 2896 3232 3258 3636 4344 4848 5792 6464 6516 7272 8688 9696 11584 12928 13032 14544 17376 18281 19392 23168 26064 29088 34752 36562 38784 52128 54843 58176 69504 73124 104256 109686 116352 146248 164529 208512 219372 292496 329058 438744 584992 658116 877488 1169984 1316232 1754976 2339968 2632464 3509952 5264928 7019904 10529856 21059712