Search a number
-
+
412088080 = 24510151001
BaseRepresentation
bin11000100011111…
…111011100010000
31001201102020120111
4120203333130100
51320443304310
6104520251104
713132455655
oct3043773420
91051366514
10412088080
111a1681968
12b6010a94
13674b4701
143ca2dc2c
15262a028a
hex188ff710

412088080 has 40 divisors (see below), whose sum is σ = 967609944. Its totient is φ = 163200000.

The previous prime is 412088071. The next prime is 412088099. The reversal of 412088080 is 80880214.

It can be written as a sum of positive squares in 4 ways, for example, as 203689984 + 208398096 = 14272^2 + 14436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17421 + ... + 33580.

Almost surely, 2412088080 is an apocalyptic number.

412088080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412088080 is an abundant number, since it is smaller than the sum of its proper divisors (555521864).

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

412088080 is a wasteful number, since it uses less digits than its factorization.

412088080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51115 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 412088080 is about 20299.9527093045. The cubic root of 412088080 is about 744.1549085851.

The spelling of 412088080 in words is "four hundred twelve million, eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 51001 102002 204004 255005 408008 510010 816016 1020020 2040040 4080080 5151101 10302202 20604404 25755505 41208808 51511010 82417616 103022020 206044040 412088080