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406660890 = 235432391319
BaseRepresentation
bin11000001111010…
…010011100011010
31001100012111212110
4120033102130122
51313101122030
6104204053150
713035363156
oct3017223432
91040174773
10406660890
11199605389
12b42341b6
136633435c
143c01a066
1525a7c1b0
hex183d271a

406660890 has 64 divisors (see below), whose sum is σ = 1003622400. Its totient is φ = 105397824.

The previous prime is 406660867. The next prime is 406660901. The reversal of 406660890 is 98066604.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307651 + ... + 308969.

It is an arithmetic number, because the mean of its divisors is an integer number (15681600).

Almost surely, 2406660890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406660890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501811200).

406660890 is an abundant number, since it is smaller than the sum of its proper divisors (596961510).

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

406660890 is a wasteful number, since it uses less digits than its factorization.

406660890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 406660890 is about 20165.8347211317. The cubic root of 406660890 is about 740.8736273280.

The spelling of 406660890 in words is "four hundred six million, six hundred sixty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 239 258 430 478 645 717 1195 1290 1319 1434 2390 2638 3585 3957 6595 7170 7914 10277 13190 19785 20554 30831 39570 51385 56717 61662 102770 113434 154155 170151 283585 308310 315241 340302 567170 630482 850755 945723 1576205 1701510 1891446 3152410 4728615 9457230 13555363 27110726 40666089 67776815 81332178 135553630 203330445 406660890