Search a number
-
+
520743040 = 2752932777
BaseRepresentation
bin11111000010011…
…110100010000000
31100021212111011021
4133002132202000
52031302234130
6123401155224
715622146166
oct3702364200
91307774137
10520743040
11247a44a54
1212648bb14
1383b6879c
144d235236
1530ab437a
hex1f09e880

520743040 has 64 divisors (see below), whose sum is σ = 1249599960. Its totient is φ = 207511552.

The previous prime is 520743037. The next prime is 520743049. The reversal of 520743040 is 40347025.

It can be written as a sum of positive squares in 4 ways, for example, as 449779264 + 70963776 = 21208^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 520742996 and 520743014.

It is not an unprimeable number, because it can be changed into a prime (520743049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186132 + ... + 188908.

Almost surely, 2520743040 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 520743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624799980).

520743040 is an abundant number, since it is smaller than the sum of its proper divisors (728856920).

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

520743040 is a wasteful number, since it uses less digits than its factorization.

520743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 520743040 is about 22819.7949158182. The cubic root of 520743040 is about 804.5279899484.

The spelling of 520743040 in words is "five hundred twenty million, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 293 320 586 640 1172 1465 2344 2777 2930 4688 5554 5860 9376 11108 11720 13885 18752 22216 23440 27770 37504 44432 46880 55540 88864 93760 111080 177728 187520 222160 355456 444320 813661 888640 1627322 1777280 3254644 4068305 6509288 8136610 13018576 16273220 26037152 32546440 52074304 65092880 104148608 130185760 260371520 520743040