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20271006 = 2337247163
BaseRepresentation
bin100110101010…
…0111110011110
31102010212121000
41031110332132
520142133011
62002251130
7334205100
oct115247636
942125530
1020271006
11104959a8
126956aa6
1342798a2
142999570
151ba6356
hex1354f9e

20271006 has 96 divisors (see below), whose sum is σ = 53844480. Its totient is φ = 5633712.

The previous prime is 20270989. The next prime is 20271037. The reversal of 20271006 is 60017202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20271006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124281 + ... + 124443.

It is an arithmetic number, because the mean of its divisors is an integer number (560880).

Almost surely, 220271006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20271006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26922240).

20271006 is an abundant number, since it is smaller than the sum of its proper divisors (33573474).

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

20271006 is a wasteful number, since it uses less digits than its factorization.

20271006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20271006 is about 4502.3333950297. Note that the first 4 decimals coincide. The cubic root of 20271006 is about 272.6623043428.

Adding to 20271006 its reverse (60017202), we get a palindrome (80288208).

The spelling of 20271006 in words is "twenty million, two hundred seventy-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 94 98 126 141 147 163 189 282 294 326 329 378 423 441 489 658 846 882 978 987 1141 1269 1323 1467 1974 2282 2303 2538 2646 2934 2961 3423 4401 4606 5922 6846 6909 7661 7987 8802 8883 10269 13818 15322 15974 17766 20538 20727 22983 23961 30807 41454 45966 47922 53627 61614 62181 68949 71883 107254 124362 137898 143766 160881 206847 215649 321762 375389 413694 431298 482643 750778 965286 1126167 1447929 2252334 2895858 3378501 6757002 10135503 20271006