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20202966 = 2337192997
BaseRepresentation
bin100110100010…
…0010111010110
31102000102021000
41031010113112
520132443331
62001004130
7333502530
oct115042726
942012230
1020202966
1110449873
126923646
134254924
14297c850
151b910e6
hex13445d6

20202966 has 128 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 5225472.

The previous prime is 20202961. The next prime is 20202989. The reversal of 20202966 is 66920202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208230 + ... + 208326.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 220202966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

20202966 is an abundant number, since it is smaller than the sum of its proper divisors (36245034).

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

20202966 is a wasteful number, since it uses less digits than its factorization.

20202966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20202966 is about 4494.7709619067. The cubic root of 20202966 is about 272.3568970594.

The spelling of 20202966 in words is "twenty million, two hundred two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 29 38 42 54 57 58 63 87 97 114 126 133 171 174 189 194 203 261 266 291 342 378 399 406 513 522 551 582 609 679 783 798 873 1026 1102 1197 1218 1358 1566 1653 1746 1827 1843 2037 2394 2619 2813 3306 3591 3654 3686 3857 4074 4959 5238 5481 5529 5626 6111 7182 7714 8439 9918 10962 11058 11571 12222 12901 14877 16587 16878 18333 19691 23142 25317 25802 29754 33174 34713 36666 38703 39382 49761 50634 53447 59073 69426 75951 77406 99522 104139 106894 116109 118146 151902 160341 177219 208278 232218 320682 348327 354438 374129 481023 531657 696654 748258 962046 1063314 1122387 1443069 2244774 2886138 3367161 6734322 10101483 20202966