Search a number
-
+
520342218 = 23511131743
BaseRepresentation
bin11111000000111…
…100101011001010
31100021010010100000
4133000330223022
52031201422333
6123344423430
715615556464
oct3700745312
91307103300
10520342218
112477a08a0
12126317b76
1383a58206
144d16d134
1530a35713
hex1f03caca

520342218 has 96 divisors (see below), whose sum is σ = 1286917632. Its totient is φ = 156265200.

The previous prime is 520342201. The next prime is 520342219. The reversal of 520342218 is 812243025.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 520342191 and 520342200.

It is not an unprimeable number, because it can be changed into a prime (520342219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699955 + ... + 700697.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2520342218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520342218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

520342218 is an abundant number, since it is smaller than the sum of its proper divisors (766575414).

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

520342218 is a wasteful number, since it uses less digits than its factorization.

520342218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 520342218 is about 22811.0108938644. The cubic root of 520342218 is about 804.3215187681.

The spelling of 520342218 in words is "five hundred twenty million, three hundred forty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 243 262 297 393 486 594 743 786 891 1179 1441 1486 1782 2229 2358 2673 2882 3537 4323 4458 5346 6687 7074 8173 8646 10611 12969 13374 16346 20061 21222 24519 25938 31833 38907 40122 49038 60183 63666 73557 77814 97333 116721 120366 147114 180549 194666 220671 233442 291999 350163 361098 441342 583998 662013 700326 875997 1070663 1324026 1751994 1986039 2141326 2627991 3211989 3972078 5255982 6423978 7883973 9635967 15767946 19271934 23651919 28907901 47303838 57815802 86723703 173447406 260171109 520342218