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530064 = 2434409
BaseRepresentation
bin10000001011010010000
3222221010000
42001122100
5113430224
615210000
74335243
oct2013220
9887100
10530064
11332277
12216900
13157362
14db25a
15a70c9
hex81690

530064 has 50 divisors (see below), whose sum is σ = 1537910. Its totient is φ = 176256.

The previous prime is 530063. The next prime is 530087. The reversal of 530064 is 460035.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 11664 = 720^2 + 108^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (530063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1092 + ... + 1500.

2530064 is an apocalyptic number.

530064 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 530064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768955).

530064 is an abundant number, since it is smaller than the sum of its proper divisors (1007846).

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

530064 is a wasteful number, since it uses less digits than its factorization.

530064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 530064 is about 728.0549429816. The cubic root of 530064 is about 80.9299806424.

Adding to 530064 its reverse (460035), we get a palindrome (990099).

The spelling of 530064 in words is "five hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 409 432 648 818 1227 1296 1636 2454 3272 3681 4908 6544 7362 9816 11043 14724 19632 22086 29448 33129 44172 58896 66258 88344 132516 176688 265032 530064