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268317137 = 1121727673
BaseRepresentation
bin11111111111000…
…11000111010001
3200200212220220202
433333203013101
51022142122022
642342544545
76435441464
oct1777430721
9620786822
10268317137
11128504700
1275a38155
1343786b4a
14278c72db
1518851592
hexffe31d1

268317137 has 18 divisors (see below), whose sum is σ = 313337094. Its totient is φ = 229546240.

The previous prime is 268317089. The next prime is 268317151. The reversal of 268317137 is 731713862.

It can be written as a sum of positive squares in 3 ways, for example, as 126135361 + 142181776 = 11231^2 + 11924^2 .

It is a de Polignac number, because none of the positive numbers 2k-268317137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268317137.

It is not an unprimeable number, because it can be changed into a prime (268317157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31133 + ... + 38805.

Almost surely, 2268317137 is an apocalyptic number.

It is an amenable number.

268317137 is a deficient number, since it is larger than the sum of its proper divisors (45019957).

268317137 is a wasteful number, since it uses less digits than its factorization.

268317137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7701 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 268317137 is about 16380.3887926996. The cubic root of 268317137 is about 644.9847858118.

The spelling of 268317137 in words is "two hundred sixty-eight million, three hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 11 17 121 187 289 2057 3179 7673 34969 84403 130441 928433 1434851 2217497 15783361 24392467 268317137