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520026120 = 233253739041
BaseRepresentation
bin11110111111101…
…111100000001000
31100020112001201200
4132333233200020
52031111313440
6123333544200
715613102065
oct3677574010
91306461650
10520026120
112475a5359
121261a5060
1383977383
144d0c9c6c
15309c1c30
hex1efef808

520026120 has 96 divisors (see below), whose sum is σ = 1735807320. Its totient is φ = 134922240.

The previous prime is 520026119. The next prime is 520026127. The reversal of 520026120 is 21620025.

520026120 is a `hidden beast` number, since 52 + 0 + 0 + 2 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 519566436 + 459684 = 22794^2 + 678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520026093 and 520026102.

It is not an unprimeable number, because it can be changed into a prime (520026127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6201 + ... + 32840.

Almost surely, 2520026120 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 520026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867903660).

520026120 is an abundant number, since it is smaller than the sum of its proper divisors (1215781200).

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

520026120 is a wasteful number, since it uses less digits than its factorization.

520026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39095 (or 39088 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 520026120 is about 22804.0812136775. The cubic root of 520026120 is about 804.1586157689.

Adding to 520026120 its reverse (21620025), we get a palindrome (541646145).

The spelling of 520026120 in words is "five hundred twenty million, twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 39041 78082 117123 156164 195205 234246 312328 351369 390410 468492 585615 702738 780820 936984 1171230 1405476 1444517 1561640 1756845 2342460 2810952 2889034 3513690 4333551 4684920 5778068 7027380 7222585 8667102 11556136 13000653 14054760 14445170 17334204 21667755 26001306 28890340 34668408 43335510 52002612 57780680 65003265 86671020 104005224 130006530 173342040 260013060 520026120