Search a number
-
+
5630021280 = 2532513300749
BaseRepresentation
bin1010011111001001…
…10100111010100000
3112112100212201021200
411033210310322200
543012241140110
62330354521200
7256342251132
oct51744647240
915470781250
105630021280
11242a000354
121111596200
136b9539050
143b5a21052
1522e4046c0
hex14f934ea0

5630021280 has 144 divisors (see below), whose sum is σ = 20690397000. Its totient is φ = 1385846784.

The previous prime is 5630021273. The next prime is 5630021281. The reversal of 5630021280 is 821200365.

5630021280 is a `hidden beast` number, since 5 + 630 + 0 + 2 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1797420816 + 3832600464 = 42396^2 + 61908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×56300212803 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5630021281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131655 + ... + 169094.

Almost surely, 25630021280 is an apocalyptic number.

It is an amenable number.

5630021280 is an abundant number, since it is smaller than the sum of its proper divisors (15060375720).

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

5630021280 is a wasteful number, since it uses less digits than its factorization.

5630021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300783 (or 300772 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5630021280 is about 75033.4677327391. The cubic root of 5630021280 is about 1778.9756847021.

The spelling of 5630021280 in words is "five billion, six hundred thirty million, twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 300749 601498 902247 1202996 1503745 1804494 2405992 2706741 3007490 3608988 3909737 4511235 4811984 5413482 6014980 7217976 7819474 9022470 9623968 10826964 11729211 12029960 13533705 14435952 15638948 18044940 19548685 21653928 23458422 24059920 27067410 28871904 31277896 35187633 36089880 39097370 43307856 46916844 48119840 54134820 58646055 62555792 70375266 72179760 78194740 86615712 93833688 108269640 117292110 125111584 140750532 144359520 156389480 175938165 187667376 216539280 234584220 281501064 312778960 351876330 375334752 433078560 469168440 563002128 625557920 703752660 938336880 1126004256 1407505320 1876673760 2815010640 5630021280