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20830608 = 243416073
BaseRepresentation
bin100111101110…
…1100110010000
31110012022020000
41033131212100
520313034413
62022250000
7342025431
oct117354620
943168200
1020830608
1110838387
126b86900
134414506
142aa3488
151c67073
hex13dd990

20830608 has 50 divisors (see below), whose sum is σ = 60293574. Its totient is φ = 6943104.

The previous prime is 20830597. The next prime is 20830609. The reversal of 20830608 is 80603802.

20830608 is a `hidden beast` number, since 20 + 8 + 30 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14837904 + 5992704 = 3852^2 + 2448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20830609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6741 + ... + 9332.

Almost surely, 220830608 is an apocalyptic number.

It is an amenable number.

20830608 is an abundant number, since it is smaller than the sum of its proper divisors (39462966).

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

20830608 is a wasteful number, since it uses less digits than its factorization.

20830608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20830608 is about 4564.0560908034. The cubic root of 20830608 is about 275.1486050815.

The spelling of 20830608 in words is "twenty million, eight hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 16073 32146 48219 64292 96438 128584 144657 192876 257168 289314 385752 433971 578628 771504 867942 1157256 1301913 1735884 2314512 2603826 3471768 5207652 6943536 10415304 20830608