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20630430 = 2335109701
BaseRepresentation
bin100111010110…
…0101110011110
31102211010122000
41032230232132
520240133210
62014103130
7340233012
oct116545636
942733560
1020630430
1110710a47
126aaaaa6
134374372
142a50542
151c27ac0
hex13acb9e

20630430 has 64 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 5443200.

The previous prime is 20630413. The next prime is 20630453. The reversal of 20630430 is 3403602.

20630430 is a `hidden beast` number, since 2 + 0 + 630 + 4 + 30 = 666.

20630430 is nontrivially palindromic in base 12.

It is a super-3 number, since 3×206304303 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29080 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (868725).

Almost surely, 220630430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20630430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

20630430 is an abundant number, since it is smaller than the sum of its proper divisors (34967970).

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

20630430 is a wasteful number, since it uses less digits than its factorization.

20630430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20630430 is about 4542.0733151282. The cubic root of 20630430 is about 274.2643921762.

The spelling of 20630430 in words is "twenty million, six hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 701 981 1090 1402 1635 1962 2103 2943 3270 3505 4206 4905 5886 6309 7010 9810 10515 12618 14715 18927 21030 29430 31545 37854 63090 76409 94635 152818 189270 229227 382045 458454 687681 764090 1146135 1375362 2063043 2292270 3438405 4126086 6876810 10315215 20630430