Search a number
-
+
9990305280 = 29325433607
BaseRepresentation
bin10010100110111011…
…11111011000000000
3221210020112002110200
421103131333120000
5130430004232110
64331154525200
7502366123314
oct112335773000
927706462420
109990305280
1142672a324a
121b29896800
13c329a4857
146aab5bb44
153d70e56c0
hex25377f600

9990305280 has 120 divisors (see below), whose sum is σ = 34599316752. Its totient is φ = 2664075264.

The previous prime is 9990305257. The next prime is 9990305327. The reversal of 9990305280 is 825030999.

9990305280 is a `hidden beast` number, since 9 + 9 + 90 + 30 + 528 + 0 = 666.

9990305280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 193764 + ... + 239843.

Almost surely, 29990305280 is an apocalyptic number.

9990305280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9990305280 is an abundant number, since it is smaller than the sum of its proper divisors (24609011472).

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

9990305280 is a wasteful number, since it uses less digits than its factorization.

9990305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433636 (or 433617 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9990305280 is about 99951.5146458522. The cubic root of 9990305280 is about 2153.7382435523.

The spelling of 9990305280 in words is "nine billion, nine hundred ninety million, three hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 433607 867214 1300821 1734428 2168035 2601642 3468856 3902463 4336070 5203284 6504105 6937712 7804926 8672140 10406568 13008210 13875424 15609852 17344280 19512315 20813136 26016420 27750848 31219704 34688560 39024630 41626272 52032840 55501696 62439408 69377120 78049260 83252544 104065680 111003392 124878816 138754240 156098520 166505088 208131360 222006784 249757632 277508480 312197040 333010176 416262720 499515264 555016960 624394080 666020352 832525440 999030528 1110033920 1248788160 1665050880 1998061056 2497576320 3330101760 4995152640 9990305280