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406116535 = 51122712477
BaseRepresentation
bin11000001101001…
…101100010110111
31001022011212011011
4120031031202313
51312431212120
6104144253051
713030635136
oct3015154267
91038155134
10406116535
11199273400
12b4011187
13661a3656
143bd1791d
15259c0c5a
hex1834d8b7

406116535 has 24 divisors (see below), whose sum is σ = 537864768. Its totient is φ = 294148800.

The previous prime is 406116533. The next prime is 406116539. The reversal of 406116535 is 535611604.

It is not a de Polignac number, because 406116535 - 21 = 406116533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406116497 and 406116506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406116533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162717 + ... + 165193.

It is an arithmetic number, because the mean of its divisors is an integer number (22411032).

Almost surely, 2406116535 is an apocalyptic number.

406116535 is a deficient number, since it is larger than the sum of its proper divisors (131748233).

406116535 is a wasteful number, since it uses less digits than its factorization.

406116535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 406116535 is about 20152.3332396028. Note that the first 3 decimals coincide. The cubic root of 406116535 is about 740.5429026722.

The spelling of 406116535 in words is "four hundred six million, one hundred sixteen thousand, five hundred thirty-five".

Divisors: 1 5 11 55 121 271 605 1355 2477 2981 12385 14905 27247 32791 136235 163955 299717 671267 1498585 3356335 7383937 36919685 81223307 406116535