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530816 = 27111329
BaseRepresentation
bin10000001100110000000
3222222010212
42001212000
5113441231
615213252
74340366
oct2014600
9888125
10530816
113328a0
12217228
131577c0
14db636
15a742b
hex81980

530816 has 64 divisors (see below), whose sum is σ = 1285200. Its totient is φ = 215040.

The previous prime is 530807. The next prime is 530833. The reversal of 530816 is 618035.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 530791 and 530800.

It is a congruent number.

It is an unprimeable number.

530816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18290 + ... + 18318.

2530816 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 530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600).

530816 is an abundant number, since it is smaller than the sum of its proper divisors (754384).

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

530816 is a wasteful number, since it uses less digits than its factorization.

530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 530816 is about 728.5712044818. The cubic root of 530816 is about 80.9682342544.

The spelling of 530816 in words is "five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 286 319 352 377 416 464 572 638 704 754 832 928 1144 1276 1408 1508 1664 1856 2288 2552 3016 3712 4147 4576 5104 6032 8294 9152 10208 12064 16588 18304 20416 24128 33176 40832 48256 66352 132704 265408 530816