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20259954 = 232111317463
BaseRepresentation
bin100110101001…
…0010001110010
31102010022102200
41031102101302
520141304304
62002124030
7334130631
oct115222162
942108380
1020259954
1110488670
126950616
134274850
142995518
151ba2e39
hex1352472

20259954 has 96 divisors (see below), whose sum is σ = 54722304. Its totient is φ = 5322240.

The previous prime is 20259949. The next prime is 20259973. The reversal of 20259954 is 45995202.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43527 + ... + 43989.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 220259954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20259954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152).

20259954 is an abundant number, since it is smaller than the sum of its proper divisors (34462350).

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

20259954 is a wasteful number, since it uses less digits than its factorization.

20259954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 20259954 is about 4501.1058641183. The cubic root of 20259954 is about 272.6127423952.

The spelling of 20259954 in words is "twenty million, two hundred fifty-nine thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 463 561 663 858 926 1122 1287 1326 1389 1683 1989 2431 2574 2778 3366 3978 4167 4862 5093 6019 7293 7871 8334 10186 12038 14586 15279 15742 18057 21879 23613 30558 36114 43758 45837 47226 54171 66209 70839 86581 91674 102323 108342 132418 141678 173162 198627 204646 259743 306969 397254 519486 595881 613938 779229 920907 1125553 1191762 1558458 1841814 2251106 3376659 6753318 10129977 20259954