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531302420 = 2251110123911
BaseRepresentation
bin11111101010110…
…000100000010100
31101000201221220102
4133222300200110
52042003134140
6124415353232
716110665435
oct3752604024
91330657812
10531302420
112529a7410
12129b22818
13860c4b3c
14507c348c
153199ce15
hex1fab0814

531302420 has 48 divisors (see below), whose sum is σ = 1229268096. Its totient is φ = 191280000.

The previous prime is 531302407. The next prime is 531302423. The reversal of 531302420 is 24203135.

It is a happy number.

It is a super-2 number, since 2×5313024202 = 564564522995712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 531302392 and 531302401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531302423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10265 + ... + 34175.

It is an arithmetic number, because the mean of its divisors is an integer number (25609752).

Almost surely, 2531302420 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 531302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614634048).

531302420 is an abundant number, since it is smaller than the sum of its proper divisors (697965676).

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

531302420 is a wasteful number, since it uses less digits than its factorization.

531302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 24030 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 531302420 is about 23049.9982646420. The cubic root of 531302420 is about 809.9295879453.

Adding to 531302420 its reverse (24203135), we get a palindrome (555505555).

The spelling of 531302420 in words is "five hundred thirty-one million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 23911 47822 95644 119555 239110 263021 478220 526042 1052084 1315105 2415011 2630210 4830022 5260420 9660044 12075055 24150110 26565121 48300220 53130242 106260484 132825605 265651210 531302420