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20630142 = 23213131673
BaseRepresentation
bin100111010110…
…0101001111110
31102211010020100
41032230221332
520240131032
62014101530
7340232121
oct116545176
942733210
1020630142
1110710805
126aaa8a6
1343741b0
142a503b8
151c2797c
hex13aca7e

20630142 has 48 divisors (see below), whose sum is σ = 48576528. Its totient is φ = 6289920.

The previous prime is 20630123. The next prime is 20630147. The reversal of 20630142 is 24103602.

It is a happy number.

20630142 is a `hidden beast` number, since 20 + 630 + 14 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20630147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30318 + ... + 30990.

It is an arithmetic number, because the mean of its divisors is an integer number (1012011).

Almost surely, 220630142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20630142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288264).

20630142 is an abundant number, since it is smaller than the sum of its proper divisors (27946386).

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

20630142 is a wasteful number, since it uses less digits than its factorization.

20630142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20630142 is about 4542.0416114342. The cubic root of 20630142 is about 274.2631159302.

Adding to 20630142 its reverse (24103602), we get a palindrome (44733744).

The spelling of 20630142 in words is "twenty million, six hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 673 786 1179 1346 1703 2019 2358 3406 4038 5109 6057 8749 10218 12114 15327 17498 26247 30654 52494 78741 88163 157482 176326 264489 528978 793467 1146119 1586934 2292238 3438357 6876714 10315071 20630142