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520302420 = 223351127963
BaseRepresentation
bin11111000000110…
…010111101010100
31100021001002202000
4133000302331110
52031144134140
6123343515300
715615332451
oct3700627524
91307032660
10520302420
11247773a00
121262b8b30
1383a43071
144d15c828
1530a28a30
hex1f032f54

520302420 has 144 divisors (see below), whose sum is σ = 1779476160. Its totient is φ = 126118080.

The previous prime is 520302407. The next prime is 520302421. The reversal of 520302420 is 24203025.

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 = 520302393 and 520302402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520302421) 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, 61359 + ... + 69321.

Almost surely, 2520302420 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 520302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889738080).

520302420 is an abundant number, since it is smaller than the sum of its proper divisors (1259173740).

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

520302420 is a wasteful number, since it uses less digits than its factorization.

520302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 520302420 is about 22810.1385353092. The cubic root of 520302420 is about 804.3010122611.

Adding to 520302420 its reverse (24203025), we get a palindrome (544505445).

The spelling of 520302420 in words is "five hundred twenty million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 7963 10890 13068 15926 16335 21780 23889 31852 32670 39815 47778 65340 71667 79630 87593 95556 119445 143334 159260 175186 215001 238890 262779 286668 350372 358335 430002 437965 477780 525558 716670 788337 860004 875930 963523 1051116 1075005 1313895 1433340 1576674 1751860 1927046 2150010 2365011 2627790 2890569 3153348 3854092 3941685 4300020 4730022 4817615 5255580 5781138 7883370 8671707 9460044 9635230 11562276 11825055 14452845 15766740 17343414 19270460 23650110 26015121 28905690 34686828 43358535 47300220 52030242 57811380 86717070 104060484 130075605 173434140 260151210 520302420