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406260040 = 23523441587
BaseRepresentation
bin11000001101110…
…000100101001000
31001022110011000011
4120031300211020
51313000310130
6104151321304
713032103414
oct3015604510
91038404004
10406260040
111993611aa
12b4080234
1366223a74
143bd53d44
15259ed52a
hex18370948

406260040 has 32 divisors (see below), whose sum is σ = 953830080. Its totient is φ = 155438272.

The previous prime is 406260013. The next prime is 406260073. The reversal of 406260040 is 40062604.

It is a junction number, because it is equal to n+sod(n) for n = 406259993 and 406260020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219874 + ... + 221713.

It is an arithmetic number, because the mean of its divisors is an integer number (29807190).

Almost surely, 2406260040 is an apocalyptic number.

406260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406260040 is an abundant number, since it is smaller than the sum of its proper divisors (547570040).

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

406260040 is a wasteful number, since it uses less digits than its factorization.

406260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441621 (or 441617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 406260040 is about 20155.8934309546. The cubic root of 406260040 is about 740.6301182743.

The spelling of 406260040 in words is "four hundred six million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 441587 883174 1766348 2207935 3532696 4415870 8831740 10156501 17663480 20313002 40626004 50782505 81252008 101565010 203130020 406260040