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530931024 = 24341331513
BaseRepresentation
bin11111101001010…
…101110101010000
31101000001002110000
4133221111311100
52041404243044
6124403410000
716104560601
oct3751256520
91330032400
10530931024
11252773378
12129983900
1385cc4a90
1450727da8
1531927d69
hex1fa55d50

530931024 has 100 divisors (see below), whose sum is σ = 1654926196. Its totient is φ = 163358208.

The previous prime is 530931001. The next prime is 530931059. The reversal of 530931024 is 420139035.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 506250000 = 4968^2 + 22500^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1092 + ... + 32604.

Almost surely, 2530931024 is an apocalyptic number.

530931024 is a gapful number since it is divisible by the number (54) 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 530931024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827463098).

530931024 is an abundant number, since it is smaller than the sum of its proper divisors (1123995172).

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

530931024 is a wasteful number, since it uses less digits than its factorization.

530931024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31546 (or 31531 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 530931024 is about 23041.9405432789. The cubic root of 530931024 is about 809.7408224290.

The spelling of 530931024 in words is "five hundred thirty million, nine hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 31513 63026 94539 126052 189078 252104 283617 378156 409669 504208 567234 756312 819338 850851 1134468 1229007 1512624 1638676 1701702 2268936 2458014 2552553 3277352 3403404 3687021 4537872 4916028 5105106 6554704 6806808 7374042 9832056 10210212 11061063 13613616 14748084 19664112 20420424 22122126 29496168 33183189 40840848 44244252 58992336 66366378 88488504 132732756 176977008 265465512 530931024