Search a number
-
+
520743680 = 2852571583
BaseRepresentation
bin11111000010011…
…110101100000000
31100021212112000222
4133002132230000
52031302244210
6123401202212
715622151102
oct3702365400
91307775028
10520743680
11247a45486
12126490368
1383b68b72
144d235572
1530ab4655
hex1f09eb00

520743680 has 72 divisors (see below), whose sum is σ = 1252988352. Its totient is φ = 207355904.

The previous prime is 520743653. The next prime is 520743689. The reversal of 520743680 is 86347025.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 520743680.

It is not an unprimeable number, because it can be changed into a prime (520743689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328169 + ... + 329751.

It is an arithmetic number, because the mean of its divisors is an integer number (17402616).

Almost surely, 2520743680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626494176).

520743680 is an abundant number, since it is smaller than the sum of its proper divisors (732244672).

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

520743680 is a wasteful number, since it uses less digits than its factorization.

520743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 520743680 is about 22819.8089387269. The cubic root of 520743680 is about 804.5283195400.

The spelling of 520743680 in words is "five hundred twenty million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 514 640 1028 1280 1285 1583 2056 2570 3166 4112 5140 6332 7915 8224 10280 12664 15830 16448 20560 25328 31660 32896 41120 50656 63320 65792 82240 101312 126640 164480 202624 253280 328960 405248 406831 506560 813662 1013120 1627324 2026240 2034155 3254648 4068310 6509296 8136620 13018592 16273240 26037184 32546480 52074368 65092960 104148736 130185920 260371840 520743680