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19828530 = 23352331103
BaseRepresentation
bin100101110100…
…0111100110010
31101022101122000
41023220330302
520034003110
61544554430
7330353061
oct113507462
941271560
1019828530
1110213517
126782a16
134153377
1428c21d8
151b1a1c0
hex12e8f32

19828530 has 128 divisors (see below), whose sum is σ = 57507840. Its totient is φ = 4847040.

The previous prime is 19828513. The next prime is 19828531. The reversal of 19828530 is 3582891.

It is not an unprimeable number, because it can be changed into a prime (19828531) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 192459 + ... + 192561.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 219828530 is an apocalyptic number.

19828530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19828530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

19828530 is an abundant number, since it is smaller than the sum of its proper divisors (37679310).

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

19828530 is a wasteful number, since it uses less digits than its factorization.

19828530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 19828530 is about 4452.9237586107. The cubic root of 19828530 is about 270.6637988027.

The spelling of 19828530 in words is "nineteen million, eight hundred twenty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 90 93 103 115 135 138 155 186 206 207 230 270 279 309 310 345 414 465 515 558 618 621 690 713 837 927 930 1030 1035 1242 1395 1426 1545 1674 1854 2070 2139 2369 2781 2790 3090 3105 3193 3565 4185 4278 4635 4738 5562 6210 6386 6417 7107 7130 8370 9270 9579 10695 11845 12834 13905 14214 15965 19158 19251 21321 21390 23690 27810 28737 31930 32085 35535 38502 42642 47895 57474 63963 64170 71070 73439 86211 95790 96255 106605 127926 143685 146878 172422 192510 213210 220317 287370 319815 367195 431055 440634 639630 660951 734390 862110 1101585 1321902 1982853 2203170 3304755 3965706 6609510 9914265 19828530