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206480080 = 24517914419
BaseRepresentation
bin11000100111010…
…10001011010000
3112101112021102101
430103222023100
5410324330310
632253330144
75055023512
oct1423521320
9471467371
10206480080
11a66095a4
1259196954
1333a15981
141d5cbbb2
15131d943a
hexc4ea2d0

206480080 has 40 divisors (see below), whose sum is σ = 482781600. Its totient is φ = 82124928.

The previous prime is 206480069. The next prime is 206480081. The reversal of 206480080 is 80084602.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206480081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7111 + ... + 21529.

It is an arithmetic number, because the mean of its divisors is an integer number (12069540).

Almost surely, 2206480080 is an apocalyptic number.

206480080 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 206480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241390800).

206480080 is an abundant number, since it is smaller than the sum of its proper divisors (276301520).

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

206480080 is a wasteful number, since it uses less digits than its factorization.

206480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 206480080 is about 14369.4147410394. The cubic root of 206480080 is about 591.0524927059.

The spelling of 206480080 in words is "two hundred six million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 14419 28838 57676 72095 115352 144190 230704 288380 576760 1153520 2581001 5162002 10324004 12905005 20648008 25810010 41296016 51620020 103240040 206480080