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982135530 = 23553891039
BaseRepresentation
bin111010100010100…
…011001011101010
32112110001122200000
4322202203023222
54002411314110
6241242323430
733224004615
oct7242431352
92473048600
10982135530
11464431a62
12234ab9576
13128623aac
149461b17c
155b3531c0
hex3a8a32ea

982135530 has 96 divisors (see below), whose sum is σ = 2657491200. Its totient is φ = 260978112.

The previous prime is 982135529. The next prime is 982135571. The reversal of 982135530 is 35531289.

982135530 is a `hidden beast` number, since 98 + 2 + 1 + 35 + 530 = 666.

982135530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944751 + ... + 945789.

It is an arithmetic number, because the mean of its divisors is an integer number (27682200).

Almost surely, 2982135530 is an apocalyptic number.

982135530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 982135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328745600).

982135530 is an abundant number, since it is smaller than the sum of its proper divisors (1675355670).

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

982135530 is a wasteful number, since it uses less digits than its factorization.

982135530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 982135530 is about 31339.0416254231. The cubic root of 982135530 is about 994.0093605694.

The spelling of 982135530 in words is "nine hundred eighty-two million, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 389 405 486 778 810 1039 1167 1215 1945 2078 2334 2430 3117 3501 3890 5195 5835 6234 7002 9351 10390 10503 11670 15585 17505 18702 21006 28053 31170 31509 35010 46755 52515 56106 63018 84159 93510 94527 105030 140265 157545 168318 189054 252477 280530 315090 404171 420795 472635 504954 808342 841590 945270 1212513 1262385 2020855 2425026 2524770 3637539 4041710 6062565 7275078 10912617 12125130 18187695 21825234 32737851 36375390 54563085 65475702 98213553 109126170 163689255 196427106 327378510 491067765 982135530