Search a number
-
+
505085280 = 25357150323
BaseRepresentation
bin11110000110101…
…111110101100000
31022012101222202020
4132012233311200
52013300212110
6122041421440
715342103560
oct3606576540
91265358666
10505085280
1123a120057
1212119a880
138084593b
144b11ada0
152e51ed70
hex1e1afd60

505085280 has 96 divisors (see below), whose sum is σ = 1818319104. Its totient is φ = 115447296.

The previous prime is 505085279. The next prime is 505085327. The reversal of 505085280 is 82580505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5050852802 = 510222280145356800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71802 + ... + 78521.

It is an arithmetic number, because the mean of its divisors is an integer number (18940824).

Almost surely, 2505085280 is an apocalyptic number.

It is an amenable number.

505085280 is an abundant number, since it is smaller than the sum of its proper divisors (1313233824).

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

505085280 is a wasteful number, since it uses less digits than its factorization.

505085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150348 (or 150340 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 505085280 is about 22474.1024292406. The cubic root of 505085280 is about 796.3822478311.

The spelling of 505085280 in words is "five hundred five million, eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 150323 300646 450969 601292 751615 901938 1052261 1202584 1503230 1803876 2104522 2254845 2405168 3006460 3156783 3607752 4209044 4509690 4810336 5261305 6012920 6313566 7215504 8418088 9019380 10522610 12025840 12627132 14431008 15783915 16836176 18038760 21045220 24051680 25254264 31567830 33672352 36077520 42090440 50508528 63135660 72155040 84180880 101017056 126271320 168361760 252542640 505085280