Search a number
-
+
561331320 = 233511425251
BaseRepresentation
bin100001011101010…
…011110001111000
31110010020120210220
4201131103301320
52122200100240
6131411140040
716624144314
oct4135236170
91403216726
10561331320
11268947590
12137ba4620
138c3aa014
145479cb44
15344305d0
hex21753c78

561331320 has 64 divisors (see below), whose sum is σ = 1837088640. Its totient is φ = 136080000.

The previous prime is 561331319. The next prime is 561331327. The reversal of 561331320 is 23133165.

It is a happy number.

561331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561331327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211306 + ... + 213945.

It is an arithmetic number, because the mean of its divisors is an integer number (28704510).

Almost surely, 2561331320 is an apocalyptic number.

It is an amenable number.

561331320 is an abundant number, since it is smaller than the sum of its proper divisors (1275757320).

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

561331320 is a wasteful number, since it uses less digits than its factorization.

561331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425276 (or 425272 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 561331320 is about 23692.4317029722. The cubic root of 561331320 is about 824.9097274964.

Adding to 561331320 its reverse (23133165), we get a palindrome (584464485).

The spelling of 561331320 in words is "five hundred sixty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 425251 850502 1275753 1701004 2126255 2551506 3402008 4252510 4677761 5103012 6378765 8505020 9355522 10206024 12757530 14033283 17010040 18711044 23388805 25515060 28066566 37422088 46777610 51030120 56133132 70166415 93555220 112266264 140332830 187110440 280665660 561331320