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19988580 = 2235794217
BaseRepresentation
bin100110001000…
…0000001100100
31101121112011210
41030100001210
520104113310
61552231420
7331620513
oct114200144
941545153
1019988580
1110312797
12683b570
1341ab181
14292467a
151b4c820
hex1310064

19988580 has 48 divisors (see below), whose sum is σ = 56689920. Its totient is φ = 5261568.

The previous prime is 19988567. The next prime is 19988581. The reversal of 19988580 is 8588991.

It is not an unprimeable number, because it can be changed into a prime (19988581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 6848.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 219988580 is an apocalyptic number.

19988580 is a gapful number since it is divisible by the number (10) 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 19988580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344960).

19988580 is an abundant number, since it is smaller than the sum of its proper divisors (36701340).

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

19988580 is a wasteful number, since it uses less digits than its factorization.

19988580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The square root of 19988580 is about 4470.8589778699. The cubic root of 19988580 is about 271.3900874076.

The spelling of 19988580 in words is "nineteen million, nine hundred eighty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4217 4740 8434 12651 16868 21085 25302 42170 50604 63255 84340 126510 253020 333143 666286 999429 1332572 1665715 1998858 3331430 3997716 4997145 6662860 9994290 19988580