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20259393 = 3721121767
BaseRepresentation
bin100110101001…
…0001001000001
31102010021122220
41031102021001
520141300033
62002121253
7334126200
oct115221101
942107586
1020259393
1110488200
126950229
13427450b
142995237
151ba2bb3
hex1352241

20259393 has 72 divisors (see below), whose sum is σ = 37116576. Its totient is φ = 9757440.

The previous prime is 20259373. The next prime is 20259413. The reversal of 20259393 is 39395202.

It is an interprime number because it is at equal distance from previous prime (20259373) and next prime (20259413).

It is not a de Polignac number, because 20259393 - 210 = 20258369 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20259373) 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, 302346 + ... + 302412.

It is an arithmetic number, because the mean of its divisors is an integer number (515508).

Almost surely, 220259393 is an apocalyptic number.

It is an amenable number.

20259393 is a deficient number, since it is larger than the sum of its proper divisors (16857183).

20259393 is a wasteful number, since it uses less digits than its factorization.

20259393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 20259393 is about 4501.0435456680. The cubic root of 20259393 is about 272.6102261480.

It can be divided in two parts, 202 and 59393, that added together give a palindrome (59595).

The spelling of 20259393 in words is "twenty million, two hundred fifty-nine thousand, three hundred ninety-three".

Divisors: 1 3 7 11 17 21 33 49 51 67 77 119 121 147 187 201 231 357 363 469 539 561 737 833 847 1139 1309 1407 1617 2057 2211 2499 2541 3283 3417 3927 5159 5929 6171 7973 8107 9163 9849 12529 14399 15477 17787 23919 24321 27489 36113 37587 43197 55811 56749 87703 100793 108339 137819 167433 170247 263109 302379 397243 413457 613921 964733 1191729 1841763 2894199 6753131 20259393