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531116120 = 235191375101
BaseRepresentation
bin11111101010000…
…011000001011000
31101000101111100102
4133222003001120
52041431203440
6124411354532
716106261333
oct3752030130
91330344312
10531116120
1125288a447
12129a52a48
138605b0c2
145077561a
1531962b15
hex1fa83058

531116120 has 64 divisors (see below), whose sum is σ = 1267336800. Its totient is φ = 199756800.

The previous prime is 531116111. The next prime is 531116141. The reversal of 531116120 is 21611135.

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 = 531116092 and 531116101.

It is a congruent number.

It is an unprimeable number.

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, 101570 + ... + 106670.

Almost surely, 2531116120 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 531116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633668400).

531116120 is an abundant number, since it is smaller than the sum of its proper divisors (736220680).

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

531116120 is a wasteful number, since it uses less digits than its factorization.

531116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 531116120 is about 23045.9566952644. The cubic root of 531116120 is about 809.8349102148.

Adding to 531116120 its reverse (21611135), we get a palindrome (552727255).

The spelling of 531116120 in words is "five hundred thirty-one million, one hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 137 152 190 274 380 548 685 760 1096 1370 2603 2740 5101 5206 5480 10202 10412 13015 20404 20824 25505 26030 40808 51010 52060 96919 102020 104120 193838 204040 387676 484595 698837 775352 969190 1397674 1938380 2795348 3494185 3876760 5590696 6988370 13277903 13976740 26555806 27953480 53111612 66389515 106223224 132779030 265558060 531116120