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268213605 = 35112956053
BaseRepresentation
bin11111111110010…
…01110101100101
3200200200122220020
433333021311211
51022130313410
642340425353
76434530602
oct1777116545
9620618806
10268213605
11128443940
12759a8259
134374b99a
142789b6a9
1518830a70
hexffc9d65

268213605 has 32 divisors (see below), whose sum is σ = 484306560. Its totient is φ = 125556480.

The previous prime is 268213601. The next prime is 268213639. The reversal of 268213605 is 506312862.

It is not a de Polignac number, because 268213605 - 22 = 268213601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268213601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23242 + ... + 32811.

It is an arithmetic number, because the mean of its divisors is an integer number (15134580).

Almost surely, 2268213605 is an apocalyptic number.

It is an amenable number.

268213605 is a deficient number, since it is larger than the sum of its proper divisors (216092955).

268213605 is a wasteful number, since it uses less digits than its factorization.

268213605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56101.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 268213605 is about 16377.2282453412. The cubic root of 268213605 is about 644.9018178780.

The spelling of 268213605 in words is "two hundred sixty-eight million, two hundred thirteen thousand, six hundred five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 4785 56053 168159 280265 616583 840795 1625537 1849749 3082915 4876611 8127685 9248745 17880907 24383055 53642721 89404535 268213605