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2380079205 = 325723729173
BaseRepresentation
bin1000110111011101…
…0010000001100101
320010212112112212200
42031313102001211
514333300013310
61032101205113
7112660224300
oct21567220145
96125475780
102380079205
111011546809
12565100799
132bc1325ba
14188155b37
15dde3d9c0
hex8ddd2065

2380079205 has 72 divisors (see below), whose sum is σ = 4928888952. Its totient is φ = 1058593536.

The previous prime is 2380079161. The next prime is 2380079209. The reversal of 2380079205 is 5029700832.

It is a happy number.

2380079205 is a `hidden beast` number, since 2 + 380 + 0 + 79 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210569121 + 2169510084 = 14511^2 + 46578^2 .

It is not a de Polignac number, because 2380079205 - 28 = 2380078949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2380079205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380079209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66999 + ... + 96171.

It is an arithmetic number, because the mean of its divisors is an integer number (68456791).

Almost surely, 22380079205 is an apocalyptic number.

It is an amenable number.

2380079205 is an abundant number, since it is smaller than the sum of its proper divisors (2548809747).

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

2380079205 is a wasteful number, since it uses less digits than its factorization.

2380079205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235 (or 29225 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2380079205 is about 48786.0554359542. The cubic root of 2380079205 is about 1335.1512600567.

The spelling of 2380079205 in words is "two billion, three hundred eighty million, seventy-nine thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 245 259 315 333 441 555 735 777 1295 1665 1813 2205 2331 3885 5439 9065 11655 16317 27195 29173 81585 87519 145865 204211 262557 437595 612633 1021055 1079401 1312785 1429477 1837899 3063165 3238203 4288431 5397005 7147385 7555807 9189495 9714609 12865293 16191015 21442155 22667421 37779035 48573045 52890649 64326465 68002263 113337105 158671947 264453245 340011315 476015841 793359735 2380079205