Search a number
-
+
20290680 = 23325157359
BaseRepresentation
bin100110101100…
…1110001111000
31102011212120200
41031121301320
520143300210
62002522200
7334316334
oct115316170
942155520
1020290680
11104a9763
126966360
134285827
1429a27c4
151bac0c0
hex1359c78

20290680 has 96 divisors (see below), whose sum is σ = 66549600. Its totient is φ = 5361408.

The previous prime is 20290661. The next prime is 20290693. The reversal of 20290680 is 8609202.

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 23 ways as a sum of consecutive naturals, for example, 56341 + ... + 56699.

It is an arithmetic number, because the mean of its divisors is an integer number (693225).

Almost surely, 220290680 is an apocalyptic number.

20290680 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 20290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274800).

20290680 is an abundant number, since it is smaller than the sum of its proper divisors (46258920).

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

20290680 is a wasteful number, since it uses less digits than its factorization.

20290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20290680 is about 4504.5177322328. The cubic root of 20290680 is about 272.7504865089.

Adding to 20290680 its reverse (8609202), we get a palindrome (28899882).

The spelling of 20290680 in words is "twenty million, two hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 359 360 471 628 718 785 942 1077 1256 1413 1436 1570 1795 1884 2154 2355 2826 2872 3140 3231 3590 3768 4308 4710 5385 5652 6280 6462 7065 7180 8616 9420 10770 11304 12924 14130 14360 16155 18840 21540 25848 28260 32310 43080 56363 56520 64620 112726 129240 169089 225452 281815 338178 450904 507267 563630 676356 845445 1014534 1127260 1352712 1690890 2029068 2254520 2536335 3381780 4058136 5072670 6763560 10145340 20290680