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19820304 = 243272532
BaseRepresentation
bin100101110011…
…0111100010000
31101021222100100
41023212330100
520033222204
61544452400
7330320100
oct113467420
941258310
1019820304
1110208319
12677a100
13414c6ba
1428bd200
151b17a39
hex12e6f10

19820304 has 135 divisors (see below), whose sum is σ = 65765973. Its totient is φ = 5556096.

The previous prime is 19820299. The next prime is 19820327. The reversal of 19820304 is 40302891.

The square root of 19820304 is 4452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 5531904 = 3780^2 + 2352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 373942 + ... + 373994.

Almost surely, 219820304 is an apocalyptic number.

19820304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19820304 is the 4452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820304

19820304 is an abundant number, since it is smaller than the sum of its proper divisors (45945669).

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

19820304 is a wasteful number, since it uses less digits than its factorization.

19820304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 19820304 is about 270.6263647221.

It can be divided in two parts, 198 and 20304, that added together give a palindrome (20502).

The spelling of 19820304 in words is "nineteen million, eight hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 53 56 63 72 84 98 106 112 126 144 147 159 168 196 212 252 294 318 336 371 392 424 441 477 504 588 636 742 784 848 882 954 1008 1113 1176 1272 1484 1764 1908 2226 2352 2544 2597 2809 2968 3339 3528 3816 4452 5194 5618 5936 6678 7056 7632 7791 8427 8904 10388 11236 13356 15582 16854 17808 19663 20776 22472 23373 25281 26712 31164 33708 39326 41552 44944 46746 50562 53424 58989 62328 67416 78652 93492 101124 117978 124656 134832 137641 157304 176967 186984 202248 235956 275282 314608 353934 373968 404496 412923 471912 550564 707868 825846 943824 1101128 1238769 1415736 1651692 2202256 2477538 2831472 3303384 4955076 6606768 9910152 19820304