Search a number
-
+
2133000320 = 27511302983
BaseRepresentation
bin111111100100011…
…0000000010000000
312111122121122100212
41333020300002000
513332022002240
6551353333252
7103600126553
oct17710600200
95448548325
102133000320
119a5028790
124b6407228
1327cba3689
141633da69a
15c73d5165
hex7f230080

2133000320 has 64 divisors (see below), whose sum is σ = 5562786240. Its totient is φ = 775633920.

The previous prime is 2133000313. The next prime is 2133000343. The reversal of 2133000320 is 230003312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2133000295 and 2133000304.

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 7 ways as a sum of consecutive naturals, for example, 144452 + ... + 158531.

It is an arithmetic number, because the mean of its divisors is an integer number (86918535).

Almost surely, 22133000320 is an apocalyptic number.

2133000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133000320 is an abundant number, since it is smaller than the sum of its proper divisors (3429785920).

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

2133000320 is a wasteful number, since it uses less digits than its factorization.

2133000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303013 (or 303001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2133000320 is about 46184.4164193941. The cubic root of 2133000320 is about 1287.2521924805.

Adding to 2133000320 its reverse (230003312), we get a palindrome (2363003632).

The spelling of 2133000320 in words is "two billion, one hundred thirty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 302983 605966 1211932 1514915 2423864 3029830 3332813 4847728 6059660 6665626 9695456 12119320 13331252 16664065 19390912 24238640 26662504 33328130 38781824 48477280 53325008 66656260 96954560 106650016 133312520 193909120 213300032 266625040 426600064 533250080 1066500160 2133000320