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206966320 = 24511479491
BaseRepresentation
bin11000101011000…
…00111000110000
3112102102222102021
430111200320300
5410440410240
632312001224
75062120231
oct1425407060
9472388367
10206966320
11a6910950
1259390214
1333b560a2
141d6b7088
151328354a
hexc560e30

206966320 has 80 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 74950400.

The previous prime is 206966303. The next prime is 206966321. The reversal of 206966320 is 23669602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2069663202 = 85670115228684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206966321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 421275 + ... + 421765.

It is an arithmetic number, because the mean of its divisors is an integer number (6588864).

Almost surely, 2206966320 is an apocalyptic number.

206966320 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 206966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

206966320 is an abundant number, since it is smaller than the sum of its proper divisors (320142800).

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

206966320 is a wasteful number, since it uses less digits than its factorization.

206966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 206966320 is about 14386.3240614133. The cubic root of 206966320 is about 591.5160855530.

The spelling of 206966320 in words is "two hundred six million, nine hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 479 491 880 958 982 1916 1964 2395 2455 3832 3928 4790 4910 5269 5401 7664 7856 9580 9820 10538 10802 19160 19640 21076 21604 26345 27005 38320 39280 42152 43208 52690 54010 84304 86416 105380 108020 210760 216040 235189 421520 432080 470378 940756 1175945 1881512 2351890 2587079 3763024 4703780 5174158 9407560 10348316 12935395 18815120 20696632 25870790 41393264 51741580 103483160 206966320