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9280980 = 2234517337
BaseRepresentation
bin100011011001…
…110111010100
3122110112010000
4203121313110
54333442410
6530531300
7141613152
oct43316724
918415100
109280980
115269a35
123136b30
131bcc507
1413383d2
15c34dc0
hex8d9dd4

9280980 has 120 divisors (see below), whose sum is σ = 30918888. Its totient is φ = 2322432.

The previous prime is 9280979. The next prime is 9281003. The reversal of 9280980 is 890829.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 8191044 = 1044^2 + 2862^2 .

It is a super-2 number, since 2×92809802 = 172273179520800, which contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 27372 + ... + 27708.

Almost surely, 29280980 is an apocalyptic number.

9280980 is a gapful number since it is divisible by the number (90) 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 9280980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459444).

9280980 is an abundant number, since it is smaller than the sum of its proper divisors (21637908).

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

9280980 is a wasteful number, since it uses less digits than its factorization.

9280980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9280980 is about 3046.4700884795. The cubic root of 9280980 is about 210.1509119326.

The spelling of 9280980 in words is "nine million, two hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 337 340 405 459 510 540 612 674 765 810 918 1011 1020 1348 1377 1530 1620 1685 1836 2022 2295 2754 3033 3060 3370 4044 4590 5055 5508 5729 6066 6740 6885 9099 9180 10110 11458 12132 13770 15165 17187 18198 20220 22916 27297 27540 28645 30330 34374 36396 45495 51561 54594 57290 60660 68748 85935 90990 103122 109188 114580 136485 154683 171870 181980 206244 257805 272970 309366 343740 464049 515610 545940 618732 773415 928098 1031220 1546830 1856196 2320245 3093660 4640490 9280980