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530966940 = 223572313577
BaseRepresentation
bin11111101001011…
…110100110011100
31101000002220201020
4133221132212130
52041411420230
6124404244140
716105100400
oct3751364634
91330086636
10530966940
11252798359
121299a0650
138600822a
1450737100
1531933810
hex1fa5e99c

530966940 has 144 divisors (see below), whose sum is σ = 1737967392. Its totient is φ = 120766464.

The previous prime is 530966923. The next prime is 530966963. The reversal of 530966940 is 49669035.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 530966892 and 530966901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919932 + ... + 920508.

It is an arithmetic number, because the mean of its divisors is an integer number (12069218).

Almost surely, 2530966940 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 530966940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868983696).

530966940 is an abundant number, since it is smaller than the sum of its proper divisors (1207000452).

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

530966940 is a wasteful number, since it uses less digits than its factorization.

530966940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 530966940 is about 23042.7198915406. The cubic root of 530966940 is about 809.7590809185.

The spelling of 530966940 in words is "five hundred thirty million, nine hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 313 420 490 577 588 626 735 939 980 1154 1252 1470 1565 1731 1878 2191 2308 2885 2940 3130 3462 3756 4039 4382 4695 5770 6260 6573 6924 8078 8655 8764 9390 10955 11540 12117 13146 15337 16156 17310 18780 20195 21910 24234 26292 28273 30674 32865 34620 40390 43820 46011 48468 56546 60585 61348 65730 76685 80780 84819 92022 113092 121170 131460 141365 153370 169638 180601 184044 230055 242340 282730 306740 339276 361202 424095 460110 541803 565460 722404 848190 903005 920220 1083606 1264207 1696380 1806010 2167212 2528414 2709015 3612020 3792621 5056828 5418030 6321035 7585242 8849449 10836060 12642070 15170484 17698898 18963105 25284140 26548347 35397796 37926210 44247245 53096694 75852420 88494490 106193388 132741735 176988980 265483470 530966940