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530104400 = 24527832281
BaseRepresentation
bin11111100110001…
…100000001010000
31100221111002112022
4133212030001100
52041201320100
6124333551012
716064545610
oct3746140120
91327432468
10530104400
11252259311
12129645468
1385a95757
1450590a40
1531812e85
hex1f98c050

530104400 has 120 divisors (see below), whose sum is σ = 1473697344. Its totient is φ = 179481600.

The previous prime is 530104363. The next prime is 530104417. The reversal of 530104400 is 4401035.

It is a super-3 number, since 3×5301044003 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231260 + ... + 233540.

Almost surely, 2530104400 is an apocalyptic number.

530104400 is a gapful number since it is divisible by the number (50) 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 530104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736848672).

530104400 is an abundant number, since it is smaller than the sum of its proper divisors (943592944).

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

530104400 is a wasteful number, since it uses less digits than its factorization.

530104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 530104400 is about 23023.9961779010. The cubic root of 530104400 is about 809.3203667600.

Adding to 530104400 its reverse (4401035), we get a palindrome (534505435).

The spelling of 530104400 in words is "five hundred thirty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 83 100 112 140 166 175 200 280 332 350 400 415 560 581 664 700 830 1162 1328 1400 1660 2075 2281 2324 2800 2905 3320 4150 4562 4648 5810 6640 8300 9124 9296 11405 11620 14525 15967 16600 18248 22810 23240 29050 31934 33200 36496 45620 46480 57025 58100 63868 79835 91240 114050 116200 127736 159670 182480 189323 228100 232400 255472 319340 378646 399175 456200 638680 757292 798350 912400 946615 1277360 1325261 1514584 1596700 1893230 2650522 3029168 3193400 3786460 4733075 5301044 6386800 6626305 7572920 9466150 10602088 13252610 15145840 18932300 21204176 26505220 33131525 37864600 53010440 66263050 75729200 106020880 132526100 265052200 530104400