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530084880 = 243251356633
BaseRepresentation
bin11111100110000…
…111010000010000
31100221110002202100
4133212013100100
52041200204010
6124333320400
716064434653
oct3746072020
91327402670
10530084880
11252245686
12129636100
1385a898c0
145058789a
153180c2c0
hex1f987410

530084880 has 120 divisors (see below), whose sum is σ = 1917174168. Its totient is φ = 130480128.

The previous prime is 530084869. The next prime is 530084899. The reversal of 530084880 is 88480035.

530084880 is a `hidden beast` number, since 530 + 0 + 8 + 48 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 485409024 = 6684^2 + 22032^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5300848802 = 561979960009228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18957 + ... + 37676.

Almost surely, 2530084880 is an apocalyptic number.

It is an amenable number.

530084880 is an abundant number, since it is smaller than the sum of its proper divisors (1387089288).

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

530084880 is a wasteful number, since it uses less digits than its factorization.

530084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56665 (or 56656 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 530084880 is about 23023.5722684383. The cubic root of 530084880 is about 809.3104327876.

The spelling of 530084880 in words is "five hundred thirty million, eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 56633 113266 169899 226532 283165 339798 453064 509697 566330 679596 736229 849495 906128 1019394 1132660 1359192 1472458 1698990 2038788 2208687 2265320 2548485 2718384 2944916 3397980 3681145 4077576 4417374 4530640 5096970 5889832 6626061 6795960 7362290 8155152 8834748 10193940 11043435 11779664 13252122 13591920 14724580 17669496 20387880 22086870 26504244 29449160 33130305 35338992 40775760 44173740 53008488 58898320 66260610 88347480 106016976 132521220 176694960 265042440 530084880