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530103264 = 25323409587
BaseRepresentation
bin11111100110001…
…011101111100000
31100221111000222020
4133212023233200
52041201301024
6124333541440
716064542365
oct3746135740
91327430866
10530103264
11252258479
12129644880
1385a95092
145059046c
1531812979
hex1f98bbe0

530103264 has 96 divisors (see below), whose sum is σ = 1458051840. Its totient is φ = 168317952.

The previous prime is 530103187. The next prime is 530103283. The reversal of 530103264 is 462301035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902779 + ... + 903365.

It is an arithmetic number, because the mean of its divisors is an integer number (15188040).

Almost surely, 2530103264 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 530103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729025920).

530103264 is an abundant number, since it is smaller than the sum of its proper divisors (927948576).

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

530103264 is a wasteful number, since it uses less digits than its factorization.

530103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 530103264 is about 23023.9715079740. The cubic root of 530103264 is about 809.3197886420.

Adding to 530103264 its reverse (462301035), we get a palindrome (992404299).

The spelling of 530103264 in words is "five hundred thirty million, one hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 409 552 587 736 818 1104 1174 1227 1636 1761 2208 2348 2454 3272 3522 4696 4908 6544 7044 9392 9407 9816 13088 13501 14088 18784 18814 19632 27002 28176 28221 37628 39264 40503 54004 56352 56442 75256 81006 108008 112884 150512 162012 216016 225768 240083 301024 324024 432032 451536 480166 648048 720249 903072 960332 1296096 1440498 1920664 2880996 3841328 5521909 5761992 7682656 11043818 11523984 16565727 22087636 23047968 33131454 44175272 66262908 88350544 132525816 176701088 265051632 530103264