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206919328 = 25711791063
BaseRepresentation
bin11000101010101…
…01011010100000
3112102100120221211
430111111122200
5410432404303
632310555504
75061533230
oct1425253240
9472316854
10206919328
11a6889610
1259368b94
1333b3a895
141d6a3cc0
151327466d
hexc5556a0

206919328 has 96 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 79522560.

The previous prime is 206919319. The next prime is 206919337. The reversal of 206919328 is 823919602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206919319) and next prime (206919337).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194125 + ... + 195187.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2206919328 is an apocalyptic number.

206919328 is a gapful number since it is divisible by the number (28) 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 206919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

206919328 is an abundant number, since it is smaller than the sum of its proper divisors (307886432).

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

206919328 is a wasteful number, since it uses less digits than its factorization.

206919328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 206919328 is about 14384.6907509338. The cubic root of 206919328 is about 591.4713139723.

The spelling of 206919328 in words is "two hundred six million, nine hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 79 88 112 154 158 176 224 308 316 352 553 616 632 869 1063 1106 1232 1264 1738 2126 2212 2464 2528 3476 4252 4424 6083 6952 7441 8504 8848 11693 12166 13904 14882 17008 17696 23386 24332 27808 29764 34016 46772 48664 59528 81851 83977 93544 97328 119056 163702 167954 187088 194656 238112 327404 335908 374176 587839 654808 671816 923747 1175678 1309616 1343632 1847494 2351356 2619232 2687264 3694988 4702712 6466229 7389976 9405424 12932458 14779952 18810848 25864916 29559904 51729832 103459664 206919328