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531214640 = 245111735509
BaseRepresentation
bin11111101010011…
…011000100110000
31101000120111111022
4133222123010300
52041442332030
6124413435012
716110151505
oct3752330460
91330514438
10531214640
11252947470
12129a9ba68
1386093bb8
145079d4ac
1531981de5
hex1fa9b130

531214640 has 80 divisors (see below), whose sum is σ = 1426649760. Its totient is φ = 181800960.

The previous prime is 531214627. The next prime is 531214669. The reversal of 531214640 is 46412135.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2795 + ... + 32714.

It is an arithmetic number, because the mean of its divisors is an integer number (17833122).

Almost surely, 2531214640 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 531214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713324880).

531214640 is an abundant number, since it is smaller than the sum of its proper divisors (895435120).

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

531214640 is a wasteful number, since it uses less digits than its factorization.

531214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35550 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 531214640 is about 23048.0940643690. The cubic root of 531214640 is about 809.8849808739.

Adding to 531214640 its reverse (46412135), we get a palindrome (577626775).

The spelling of 531214640 in words is "five hundred thirty-one million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 35509 71018 142036 177545 284072 355090 390599 568144 603653 710180 781198 1207306 1420360 1562396 1952995 2414612 2840720 3018265 3124792 3905990 4829224 6036530 6249584 6640183 7811980 9658448 12073060 13280366 15623960 24146120 26560732 31247920 33200915 48292240 53121464 66401830 106242928 132803660 265607320 531214640