Search a number
-
+
20630304 = 253271633
BaseRepresentation
bin100111010110…
…0101100100000
31102211010110100
41032230230200
520240132204
62014102400
7340232442
oct116545440
942733410
1020630304
1110710942
126aaaa00
1343742a6
142a50492
151c27a39
hex13acb20

20630304 has 36 divisors (see below), whose sum is σ = 58668246. Its totient is φ = 6876672.

The previous prime is 20630293. The next prime is 20630317. The reversal of 20630304 is 40303602.

20630304 is a `hidden beast` number, since 2 + 0 + 630 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 810000 = 4452^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 35529 + ... + 36104.

Almost surely, 220630304 is an apocalyptic number.

20630304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20630304 is an abundant number, since it is smaller than the sum of its proper divisors (38037942).

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

20630304 is a wasteful number, since it uses less digits than its factorization.

20630304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71649 (or 71638 counting only the distinct ones).

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

The square root of 20630304 is about 4542.0594447893. The cubic root of 20630304 is about 274.2638338201.

Adding to 20630304 its reverse (40303602), we get a palindrome (60933906).

The spelling of 20630304 in words is "twenty million, six hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71633 143266 214899 286532 429798 573064 644697 859596 1146128 1289394 1719192 2292256 2578788 3438384 5157576 6876768 10315152 20630304