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20025630 = 23654167
BaseRepresentation
bin100110001100…
…1000100011110
31101200102000000
41030121010132
520111310010
61553115130
7332133522
oct114310436
941612000
1020025630
1110338609
126858aa6
1341c1cb1
142933d82
151b587c0
hex131911e

20025630 has 112 divisors (see below), whose sum is σ = 56188944. Its totient is φ = 5132160.

The previous prime is 20025613. The next prime is 20025637. The reversal of 20025630 is 3652002.

20025630 = 22362 + 22372 + ... + 22392.

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 (20025637) 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 55 ways as a sum of consecutive naturals, for example, 298857 + ... + 298923.

It is an arithmetic number, because the mean of its divisors is an integer number (501687).

Almost surely, 220025630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20025630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094472).

20025630 is an abundant number, since it is smaller than the sum of its proper divisors (36163314).

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

20025630 is an equidigital number, since it uses as much as digits as its factorization.

20025630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

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

The square root of 20025630 is about 4475.0005586592. Note that the first 3 decimals coincide. The cubic root of 20025630 is about 271.5576630369.

Adding to 20025630 its reverse (3652002), we get a palindrome (23677632).

The spelling of 20025630 in words is "twenty million, twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 67 81 82 90 123 134 135 162 201 205 243 246 270 335 369 402 405 410 486 603 615 670 729 738 810 1005 1107 1206 1215 1230 1458 1809 1845 2010 2214 2430 2747 3015 3321 3618 3645 3690 5427 5494 5535 6030 6642 7290 8241 9045 9963 10854 11070 13735 16281 16482 16605 18090 19926 24723 27135 27470 29889 32562 33210 41205 48843 49446 49815 54270 59778 74169 81405 82410 97686 99630 123615 148338 149445 162810 222507 244215 247230 298890 370845 445014 488430 667521 741690 1112535 1335042 2002563 2225070 3337605 4005126 6675210 10012815 20025630