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520542180 = 223357113577
BaseRepresentation
bin11111000001101…
…101011111100100
31100021111021122000
4133001231133210
52031224322210
6123353005300
715620351454
oct3701553744
91307437560
10520542180
11247918054
121263b3830
1383ac8232
144d1c1d64
1530a74ac0
hex1f06d7e4

520542180 has 96 divisors (see below), whose sum is σ = 1642394880. Its totient is φ = 136846080.

The previous prime is 520542179. The next prime is 520542241. The reversal of 520542180 is 81245025.

It is a happy number.

It is a super-2 number, since 2×5205421802 = 541928322318304800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 31552 + ... + 45128.

It is an arithmetic number, because the mean of its divisors is an integer number (17108280).

Almost surely, 2520542180 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 520542180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

520542180 is an abundant number, since it is smaller than the sum of its proper divisors (1121852700).

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

520542180 is a wasteful number, since it uses less digits than its factorization.

520542180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 520542180 is about 22815.3934877310. The cubic root of 520542180 is about 804.4245363183.

The spelling of 520542180 in words is "five hundred twenty million, five hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 13577 19170 27154 38340 40731 54308 67885 81462 122193 135770 162924 203655 244386 271540 366579 407310 488772 610965 733158 814620 963967 1221930 1466316 1832895 1927934 2443860 2891901 3665790 3855868 4819835 5783802 7331580 8675703 9639670 11567604 14459505 17351406 19279340 26027109 28919010 34702812 43378515 52054218 57838020 86757030 104108436 130135545 173514060 260271090 520542180