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531344120 = 235194371229
BaseRepresentation
bin11111101010111…
…010101011111000
31101000211002002212
4133222322223320
52042011002440
6124420314252
716111231136
oct3752725370
91330732085
10531344120
11252a2577a
12129b42988
138610ab08
14507d4756
15319aa465
hex1fabaaf8

531344120 has 128 divisors (see below), whose sum is σ = 1311552000. Its totient is φ = 193052160.

The previous prime is 531344111. The next prime is 531344167. The reversal of 531344120 is 21443135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320166 + ... + 2320394.

It is an arithmetic number, because the mean of its divisors is an integer number (10246500).

Almost surely, 2531344120 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 531344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655776000).

531344120 is an abundant number, since it is smaller than the sum of its proper divisors (780207880).

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

531344120 is a wasteful number, since it uses less digits than its factorization.

531344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 531344120 is about 23050.9028022765. The cubic root of 531344120 is about 809.9507768696.

Adding to 531344120 its reverse (21443135), we get a palindrome (552787255).

The spelling of 531344120 in words is "five hundred thirty-one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 71 76 86 95 142 152 172 190 215 229 284 344 355 380 430 458 568 710 760 817 860 916 1145 1349 1420 1634 1720 1832 2290 2698 2840 3053 3268 4085 4351 4580 5396 6106 6536 6745 8170 8702 9160 9847 10792 12212 13490 15265 16259 16340 17404 19694 21755 24424 26980 30530 32518 32680 34808 39388 43510 49235 53960 58007 61060 65036 78776 81295 87020 98470 116014 122120 130072 162590 174040 187093 196940 232028 290035 308921 325180 374186 393880 464056 580070 617842 650360 699137 748372 935465 1160140 1235684 1398274 1496744 1544605 1870930 2320280 2471368 2796548 3089210 3495685 3741860 5593096 6178420 6991370 7483720 12356840 13283603 13982740 26567206 27965480 53134412 66418015 106268824 132836030 265672060 531344120