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505020240 = 24325701417
BaseRepresentation
bin11110000110011…
…111111101010000
31022012021200112100
4132012133331100
52013241121430
6122040200400
715341413134
oct3606377520
91265250470
10505020240
1123a0861aa
12121169100
138082215a
144b1013c4
152e50a960
hex1e19ff50

505020240 has 60 divisors (see below), whose sum is σ = 1696028724. Its totient is φ = 134671872.

The previous prime is 505020169. The next prime is 505020317. The reversal of 505020240 is 42020505.

It can be written as a sum of positive squares in 2 ways, for example, as 151880976 + 353139264 = 12324^2 + 18792^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349989 + ... + 351428.

Almost surely, 2505020240 is an apocalyptic number.

It is an amenable number.

505020240 is an abundant number, since it is smaller than the sum of its proper divisors (1191008484).

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

505020240 is a wasteful number, since it uses less digits than its factorization.

505020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701436 (or 701427 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 505020240 is about 22472.6553838215. The cubic root of 505020240 is about 796.3480628945.

Adding to 505020240 its reverse (42020505), we get a palindrome (547040745).

The spelling of 505020240 in words is "five hundred five million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 701417 1402834 2104251 2805668 3507085 4208502 5611336 6312753 7014170 8417004 10521255 11222672 12625506 14028340 16834008 21042510 25251012 28056680 31563765 33668016 42085020 50502024 56113360 63127530 84170040 101004048 126255060 168340080 252510120 505020240