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406815066 = 232717257739
BaseRepresentation
bin11000001111111…
…000000101011010
31001100111100100200
4120033320011122
51313121040231
6104211243030
713036604520
oct3017700532
91040440320
10406815066
111997001a9
12b42a9476
1366389598
143c05a310
1525aacbe6
hex183f815a

406815066 has 96 divisors (see below), whose sum is σ = 1072206720. Its totient is φ = 108822528.

The previous prime is 406815011. The next prime is 406815091. The reversal of 406815066 is 660518604.

It is a self number, because there is not a number n which added to its sum of digits gives 406815066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550125 + ... + 550863.

It is an arithmetic number, because the mean of its divisors is an integer number (11168820).

Almost surely, 2406815066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406815066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536103360).

406815066 is an abundant number, since it is smaller than the sum of its proper divisors (665391654).

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

406815066 is a wasteful number, since it uses less digits than its factorization.

406815066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 406815066 is about 20169.6570620326. The cubic root of 406815066 is about 740.9672438218.

The spelling of 406815066 in words is "four hundred six million, eight hundred fifteen thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 257 306 357 514 714 739 771 1071 1478 1542 1799 2142 2217 2313 3598 4369 4434 4626 5173 5397 6651 8738 10346 10794 12563 13107 13302 15519 16191 25126 26214 30583 31038 32382 37689 39321 46557 61166 75378 78642 87941 91749 93114 113067 175882 183498 189923 226134 263823 275247 379846 527646 550494 569769 791469 1139538 1329461 1582938 1709307 2658922 3228691 3418614 3988383 6457382 7976766 9686073 11965149 19372146 22600837 23930298 29058219 45201674 58116438 67802511 135605022 203407533 406815066