Search a number
-
+
2130670080 = 293257111201
BaseRepresentation
bin111111011111111…
…0111001000000000
312111111020020212200
41332333313020000
513330422420310
6551231353200
7103541253060
oct17677671000
95444206780
102130670080
119a3786a70
124b5682800
1327c568b36
14162d913a0
15c70c49c0
hex7eff7200

2130670080 has 480 divisors, whose sum is σ = 9207589248. Its totient is φ = 442368000.

The previous prime is 2130670039. The next prime is 2130670099. The reversal of 2130670080 is 800760312.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773480 + ... + 1774680.

Almost surely, 22130670080 is an apocalyptic number.

2130670080 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 2130670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603794624).

2130670080 is an abundant number, since it is smaller than the sum of its proper divisors (7076919168).

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

2130670080 is a wasteful number, since it uses less digits than its factorization.

2130670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2130670080 is about 46159.1819684881. The cubic root of 2130670080 is about 1286.7832599771.

The spelling of 2130670080 in words is "two billion, one hundred thirty million, six hundred seventy thousand, eighty".