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20006259 = 3721319229
BaseRepresentation
bin100110001010…
…0010101110011
31101122102102120
41030110111303
520110200014
61552445323
7332023200
oct114242563
941572376
1020006259
1110324aa9
126849843
1341b6230
14292aca7
151b52ba9
hex1314573

20006259 has 72 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 9652608.

The previous prime is 20006243. The next prime is 20006279. The reversal of 20006259 is 95260002.

It is not a de Polignac number, because 20006259 - 24 = 20006243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689857 + ... + 689885.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 220006259 is an apocalyptic number.

20006259 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20006259 is a deficient number, since it is larger than the sum of its proper divisors (16478301).

20006259 is a wasteful number, since it uses less digits than its factorization.

20006259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 20006259 is about 4472.8356777329. The cubic root of 20006259 is about 271.4700746060.

The spelling of 20006259 in words is "twenty million, six thousand, two hundred fifty-nine".

Divisors: 1 3 7 13 19 21 29 39 49 57 87 91 133 147 203 247 273 361 377 399 551 609 637 741 931 1083 1131 1421 1653 1729 1911 2527 2639 2793 3857 4263 4693 5187 7163 7581 7917 10469 11571 12103 14079 17689 18473 21489 26999 31407 32851 36309 50141 53067 55419 73283 80997 98553 136097 150423 219849 229957 350987 408291 512981 689871 952679 1052961 1538943 2858037 6668753 20006259