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414068805 = 32519271359
BaseRepresentation
bin11000101011100…
…011000001000101
31001212010212121200
4120223203001011
51322000200210
6105030533113
713155345453
oct3053430105
91055125550
10414068805
111a2805027
12b6807199
1367a29137
143cdc79d3
15265420c0
hex18ae3045

414068805 has 72 divisors (see below), whose sum is σ = 770290560. Its totient is φ = 205692480.

The previous prime is 414068761. The next prime is 414068827. The reversal of 414068805 is 508860414.

It is not a de Polignac number, because 414068805 - 214 = 414052421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414068805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153216 + ... + 1153574.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2414068805 is an apocalyptic number.

414068805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414068805 is a deficient number, since it is larger than the sum of its proper divisors (356221755).

414068805 is a wasteful number, since it uses less digits than its factorization.

414068805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 414068805 is about 20348.6806697633. The cubic root of 414068805 is about 745.3452778459.

The spelling of 414068805 in words is "four hundred fourteen million, sixty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 15 19 45 57 71 95 171 213 285 355 359 361 639 855 1065 1077 1083 1349 1795 1805 3195 3231 3249 4047 5385 5415 6745 6821 12141 16155 16245 20235 20463 25489 25631 34105 60705 61389 76467 76893 102315 127445 128155 129599 229401 230679 306945 382335 384465 388797 484291 647995 1147005 1153395 1166391 1452873 1943985 2421455 4358619 5831955 7264365 9201529 21793095 27604587 46007645 82813761 138022935 414068805