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406000080 = 24335187963
BaseRepresentation
bin11000001100110…
…001000111010000
31001021221221102000
4120030301013100
51312414000310
6104141554000
713026641463
oct3014610720
91037857360
10406000080
111991a3962
12b3b75900
1366162645
143bcc72da
152599b4c0
hex183311d0

406000080 has 80 divisors (see below), whose sum is σ = 1398452160. Its totient is φ = 108266112.

The previous prime is 406000057. The next prime is 406000093. The reversal of 406000080 is 80000604.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 91822 + ... + 96141.

It is an arithmetic number, because the mean of its divisors is an integer number (17480652).

Almost surely, 2406000080 is an apocalyptic number.

406000080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406000080 is an abundant number, since it is smaller than the sum of its proper divisors (992452080).

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

406000080 is a wasteful number, since it uses less digits than its factorization.

406000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187985 (or 187973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 406000080 is about 20149.4436647765. The cubic root of 406000080 is about 740.4721116875.

Adding to 406000080 its reverse (80000604), we get a palindrome (486000684).

The spelling of 406000080 in words is "four hundred six million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 187963 375926 563889 751852 939815 1127778 1503704 1691667 1879630 2255556 2819445 3007408 3383334 3759260 4511112 5075001 5638890 6766668 7518520 8458335 9022224 10150002 11277780 13533336 15037040 16916670 20300004 22555560 25375005 27066672 33833340 40600008 45111120 50750010 67666680 81200016 101500020 135333360 203000040 406000080