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530153312 = 25132367827
BaseRepresentation
bin11111100110010…
…111111101100000
31100221120120121212
4133212113331200
52041204401222
6124335005252
716065141323
oct3746277540
91327516555
10530153312
11252292037
12129669828
1385ab1ab0
14505a47ba
15318226e2
hex1f997f60

530153312 has 96 divisors (see below), whose sum is σ = 1191843072. Its totient is φ = 230275584.

The previous prime is 530153311. The next prime is 530153369. The reversal of 530153312 is 213351035.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530153311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640643 + ... + 641469.

It is an arithmetic number, because the mean of its divisors is an integer number (12415032).

Almost surely, 2530153312 is an apocalyptic number.

530153312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595921536).

530153312 is an abundant number, since it is smaller than the sum of its proper divisors (661689760).

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

530153312 is a wasteful number, since it uses less digits than its factorization.

530153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 530153312 is about 23025.0583495460. The cubic root of 530153312 is about 809.3452576182.

The spelling of 530153312 in words is "five hundred thirty million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 67 92 104 134 184 208 268 299 368 416 536 598 736 827 871 1072 1196 1541 1654 1742 2144 2392 3082 3308 3484 4784 6164 6616 6968 9568 10751 12328 13232 13936 19021 20033 21502 24656 26464 27872 38042 40066 43004 49312 55409 76084 80132 86008 110818 152168 160264 172016 221636 247273 304336 320528 344032 443272 494546 608672 641056 720317 886544 989092 1274407 1440634 1773088 1978184 2548814 2881268 3956368 5097628 5762536 7912736 10195256 11525072 16567291 20390512 23050144 33134582 40781024 66269164 132538328 265076656 530153312