Search a number
-
+
512013240 = 233257319483
BaseRepresentation
bin11110100001001…
…011001110111000
31022200102222010100
4132201023032320
52022033410430
6122450115400
715455016654
oct3641131670
91280388110
10512013240
11243022142
1212357bb60
138210011b
144c001a64
152ee3c960
hex1e84b3b8

512013240 has 96 divisors (see below), whose sum is σ = 1686924720. Its totient is φ = 134659584.

The previous prime is 512013217. The next prime is 512013247. The reversal of 512013240 is 42310215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512013247) 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, 16539 + ... + 36021.

Almost surely, 2512013240 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 512013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843462360).

512013240 is an abundant number, since it is smaller than the sum of its proper divisors (1174911480).

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

512013240 is a wasteful number, since it uses less digits than its factorization.

512013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19573 (or 19566 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 512013240 is about 22627.7095615089. The cubic root of 512013240 is about 800.0068957739.

Adding to 512013240 its reverse (42310215), we get a palindrome (554323455).

The spelling of 512013240 in words is "five hundred twelve million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 19483 26280 38966 58449 77932 97415 116898 155864 175347 194830 233796 292245 350694 389660 467592 584490 701388 779320 876735 1168980 1402776 1422259 1753470 2337960 2844518 3506940 4266777 5689036 7013880 7111295 8533554 11378072 12800331 14222590 17067108 21333885 25600662 28445180 34134216 42667770 51201324 56890360 64001655 85335540 102402648 128003310 170671080 256006620 512013240