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20630052 = 2234411553
BaseRepresentation
bin100111010110…
…0101000100100
31102211010010000
41032230220210
520240130202
62014101300
7340231632
oct116545044
942733100
1020630052
1110710733
126aaa830
134374141
142a50352
151c2791c
hex13aca24

20630052 has 60 divisors (see below), whose sum is σ = 55281996. Its totient is φ = 6704640.

The previous prime is 20630041. The next prime is 20630059. The reversal of 20630052 is 25003602.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 19131876 = 1224^2 + 4374^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20630059) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12508 + ... + 14060.

Almost surely, 220630052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20630052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27640998).

20630052 is an abundant number, since it is smaller than the sum of its proper divisors (34651944).

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

20630052 is a wasteful number, since it uses less digits than its factorization.

20630052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20630052 is about 4542.0317039845. The cubic root of 20630052 is about 274.2627171009.

Adding to 20630052 its reverse (25003602), we get a palindrome (45633654).

The spelling of 20630052 in words is "twenty million, six hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 1553 2214 3106 3321 4428 4659 6212 6642 9318 13284 13977 18636 27954 41931 55908 63673 83862 125793 127346 167724 191019 251586 254692 382038 503172 573057 764076 1146114 1719171 2292228 3438342 5157513 6876684 10315026 20630052