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521202420 = 2232510128669
BaseRepresentation
bin11111000100001…
…110101011110100
31100022201211022100
4133010032223310
52031411434140
6123415102100
715626101404
oct3704165364
91308654270
10521202420
11248229102
12126671930
1383c998cb
144d314804
1530b55530
hex1f10eaf4

521202420 has 72 divisors (see below), whose sum is σ = 1596689640. Its totient is φ = 137606400.

The previous prime is 521202403. The next prime is 521202427. The reversal of 521202420 is 24202125.

It can be written as a sum of positive squares in 4 ways, for example, as 258373476 + 262828944 = 16074^2 + 16212^2 .

It is a super-2 number, since 2×5212024202 = 543303925227712800, which contains 22 as substring.

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 = 521202393 and 521202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521202427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846 + ... + 32514.

It is an arithmetic number, because the mean of its divisors is an integer number (22176245).

Almost surely, 2521202420 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 521202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798344820).

521202420 is an abundant number, since it is smaller than the sum of its proper divisors (1075487220).

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

521202420 is a wasteful number, since it uses less digits than its factorization.

521202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28785 (or 28780 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 521202420 is about 22829.8580810306. The cubic root of 521202420 is about 804.7644952335.

Adding to 521202420 its reverse (24202125), we get a palindrome (545404545).

The spelling of 521202420 in words is "five hundred twenty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 28669 57338 86007 114676 143345 172014 258021 286690 344028 430035 516042 573380 860070 1032084 1290105 1720140 2580210 2895569 5160420 5791138 8686707 11582276 14477845 17373414 26060121 28955690 34746828 43433535 52120242 57911380 86867070 104240484 130300605 173734140 260601210 521202420