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20301330 = 2357277349
BaseRepresentation
bin100110101110…
…0011000010010
31102012102012010
41031130120102
520144120310
62003043350
7334362360
oct115343022
942172163
1020301330
1110506765
126970556
13428a62a
1429a6630
151bb0320
hex135c612

20301330 has 64 divisors (see below), whose sum is σ = 56044800. Its totient is φ = 4610304.

The previous prime is 20301319. The next prime is 20301353. The reversal of 20301330 is 3310302.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 57996 + ... + 58344.

It is an arithmetic number, because the mean of its divisors is an integer number (875700).

Almost surely, 220301330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28022400).

20301330 is an abundant number, since it is smaller than the sum of its proper divisors (35743470).

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

20301330 is a wasteful number, since it uses less digits than its factorization.

20301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 20301330 is about 4505.6997236833. The cubic root of 20301330 is about 272.7981978163.

Adding to 20301330 its reverse (3310302), we get a palindrome (23611632).

The spelling of 20301330 in words is "twenty million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 349 554 698 831 1047 1385 1662 1745 1939 2094 2443 2770 3490 3878 4155 4886 5235 5817 7329 8310 9695 10470 11634 12215 14658 19390 24430 29085 36645 58170 73290 96673 193346 290019 483365 580038 676711 966730 1353422 1450095 2030133 2900190 3383555 4060266 6767110 10150665 20301330