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406085043 = 37131979991
BaseRepresentation
bin11000001101000…
…101110110110011
31001022010020221210
4120031011312303
51312424210133
6104143451203
713030444260
oct3015056663
91038106853
10406085043
11199251781
12b3bb6b03
1366192210
143bd0a267
15259b6763
hex18345db3

406085043 has 64 divisors (see below), whose sum is σ = 711065600. Its totient is φ = 200154240.

The previous prime is 406085041. The next prime is 406085051. The reversal of 406085043 is 340580604.

It is not a de Polignac number, because 406085043 - 21 = 406085041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406085043.

It is not an unprimeable number, because it can be changed into a prime (406085041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409278 + ... + 410268.

It is an arithmetic number, because the mean of its divisors is an integer number (11110400).

Almost surely, 2406085043 is an apocalyptic number.

406085043 is a deficient number, since it is larger than the sum of its proper divisors (304980557).

406085043 is a wasteful number, since it uses less digits than its factorization.

406085043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 406085043 is about 20151.5518757241. The cubic root of 406085043 is about 740.5237605640.

The spelling of 406085043 in words is "four hundred six million, eighty-five thousand, forty-three".

Divisors: 1 3 7 13 19 21 39 57 79 91 133 237 247 273 399 553 741 991 1027 1501 1659 1729 2973 3081 4503 5187 6937 7189 10507 12883 18829 19513 20811 21567 31521 38649 56487 58539 78289 90181 131803 136591 234867 244777 270543 395409 409773 548023 734331 1017757 1487491 1644069 1713439 3053271 4462473 5140317 7124299 10412437 19337383 21372897 31237311 58012149 135361681 406085043