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2406466040 = 235115992699
BaseRepresentation
bin1000111101101111…
…1100000111111000
320012201012010210212
42033123330013320
514412023403130
61034442530252
7113430423656
oct21733740770
96181163725
102406466040
111025429610
12571b06988
132c4740b04
1418b863dd6
15e1401e95
hex8f6fc1f8

2406466040 has 64 divisors (see below), whose sum is σ = 6006960000. Its totient is φ = 860237440.

The previous prime is 2406466039. The next prime is 2406466079. The reversal of 2406466040 is 406646042.

It is a junction number, because it is equal to n+sod(n) for n = 2406465988 and 2406466006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20390 + ... + 72309.

It is an arithmetic number, because the mean of its divisors is an integer number (93858750).

Almost surely, 22406466040 is an apocalyptic number.

2406466040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406466040 is an abundant number, since it is smaller than the sum of its proper divisors (3600493960).

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

2406466040 is a wasteful number, since it uses less digits than its factorization.

2406466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92780 (or 92776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2406466040 is about 49055.7442100311. The cubic root of 2406466040 is about 1340.0672053618.

The spelling of 2406466040 in words is "two billion, four hundred six million, four hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 25960 92699 185398 370796 463495 741592 926990 1019689 1853980 2039378 3707960 4078756 5098445 5469241 8157512 10196890 10938482 20393780 21876964 27346205 40787560 43753928 54692410 60161651 109384820 120323302 218769640 240646604 300808255 481293208 601616510 1203233020 2406466040