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206480088 = 233231791171
BaseRepresentation
bin11000100111010…
…10001011011000
3112101112021102200
430103222023120
5410324330323
632253330200
75055023523
oct1423521330
9471467380
10206480088
11a6609601
1259196960
1333a15989
141d5cbbba
15131d9443
hexc4ea2d8

206480088 has 96 divisors (see below), whose sum is σ = 585062400. Its totient is φ = 65707200.

The previous prime is 206480081. The next prime is 206480093. The reversal of 206480088 is 880084602.

206480088 is a `hidden beast` number, since 2 + 0 + 648 + 0 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175743 + ... + 176913.

It is an arithmetic number, because the mean of its divisors is an integer number (6094400).

Almost surely, 2206480088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206480088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292531200).

206480088 is an abundant number, since it is smaller than the sum of its proper divisors (378582312).

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

206480088 is a wasteful number, since it uses less digits than its factorization.

206480088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 206480088 is about 14369.4150194084. The cubic root of 206480088 is about 591.0525003392.

The spelling of 206480088 in words is "two hundred six million, four hundred eighty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 79 93 124 158 186 237 248 279 316 372 474 558 632 711 744 948 1116 1171 1422 1896 2232 2342 2449 2844 3513 4684 4898 5688 7026 7347 9368 9796 10539 14052 14694 19592 21078 22041 28104 29388 36301 42156 44082 58776 72602 84312 88164 92509 108903 145204 176328 185018 217806 277527 290408 326709 370036 435612 555054 653418 740072 832581 871224 1110108 1306836 1665162 2220216 2613672 2867779 3330324 5735558 6660648 8603337 11471116 17206674 22942232 25810011 34413348 51620022 68826696 103240044 206480088