Search a number
-
+
20303080 = 2357591229
BaseRepresentation
bin100110101110…
…0110011101000
31102012111120221
41031130303220
520144144310
62003055424
7334400440
oct115346350
942174527
1020303080
1110508006
126971574
13428b375
1429a7120
151bb0ada
hex135cce8

20303080 has 64 divisors (see below), whose sum is σ = 53136000. Its totient is φ = 6837504.

The previous prime is 20303071. The next prime is 20303111. The reversal of 20303080 is 8030302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15906 + ... + 17134.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 220303080 is an apocalyptic number.

20303080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20303080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568000).

20303080 is an abundant number, since it is smaller than the sum of its proper divisors (32832920).

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

20303080 is a wasteful number, since it uses less digits than its factorization.

20303080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20303080 is about 4505.8939179701. The cubic root of 20303080 is about 272.8060361062.

Adding to 20303080 its reverse (8030302), we get a palindrome (28333382).

The spelling of 20303080 in words is "twenty million, three hundred three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1229 1652 2065 2360 2458 3304 4130 4916 6145 8260 8603 9832 12290 16520 17206 24580 34412 43015 49160 68824 72511 86030 145022 172060 290044 344120 362555 507577 580088 725110 1015154 1450220 2030308 2537885 2900440 4060616 5075770 10151540 20303080