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530208 = 25327263
BaseRepresentation
bin10000001011100100000
3222221022100
42001130200
5113431313
615210400
74335540
oct2013440
9887270
10530208
11332398
12216a00
13157443
14db320
15a7173
hex81720

530208 has 72 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 150912.

The previous prime is 530203. The next prime is 530209. The reversal of 530208 is 802035.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5302082 = 562241046528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (530203) by changing a digit.

530208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2530208 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 530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864).

530208 is an abundant number, since it is smaller than the sum of its proper divisors (1199520).

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

530208 is a wasteful number, since it uses less digits than its factorization.

530208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 530208 is about 728.1538299013. The cubic root of 530208 is about 80.9373086016.

The spelling of 530208 in words is "five hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 263 288 336 504 526 672 789 1008 1052 1578 1841 2016 2104 2367 3156 3682 4208 4734 5523 6312 7364 8416 9468 11046 12624 14728 16569 18936 22092 25248 29456 33138 37872 44184 58912 66276 75744 88368 132552 176736 265104 530208